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Finding the Third Proportional to 462,983 and 695,706

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Solution

The third proportional to 462,983 and 695,706 is: 1,045,409.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,983 : 695,706 = 695,706 : x
  2. Step 2: Convert to fraction form
    462,983/695,706 = 695,706/x
  3. Step 3: Cross multiply
    462,983x = 695,706 × 695,706
  4. Step 4: Simplify right side
    462,983x = 484,006,838,436
  5. Step 5: Solve for x
    x = 484,006,838,436/462,983
  6. Step 6: Final answer
    x = 1,045,409.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.