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Finding the Third Proportional to 323,870,588 and 705,244,695

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Solution

The third proportional to 323,870,588 and 705,244,695 is: 1,535,706,230.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,870,588 : 705,244,695 = 705,244,695 : x
  2. Step 2: Convert to fraction form
    323,870,588/705,244,695 = 705,244,695/x
  3. Step 3: Cross multiply
    323,870,588x = 705,244,695 × 705,244,695
  4. Step 4: Simplify right side
    323,870,588x = 497,370,079,825,643,008
  5. Step 5: Solve for x
    x = 497,370,079,825,643,008/323,870,588
  6. Step 6: Final answer
    x = 1,535,706,230.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.