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Finding the Third Proportional to 329,366,371.50 and 692,699,323.50

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Solution

The third proportional to 329,366,371.50 and 692,699,323.50 is: 1,456,834,681.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,366,371.50 : 692,699,323.50 = 692,699,323.50 : x
  2. Step 2: Convert to fraction form
    329,366,371.50/692,699,323.50 = 692,699,323.50/x
  3. Step 3: Cross multiply
    329,366,371.50x = 692,699,323.50 × 692,699,323.50
  4. Step 4: Simplify right side
    329,366,371.50x = 479,832,352,777,357,632
  5. Step 5: Solve for x
    x = 479,832,352,777,357,632/329,366,371.50
  6. Step 6: Final answer
    x = 1,456,834,681.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.