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Finding the Third Proportional to 465,651 and 712,008

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Solution

The third proportional to 465,651 and 712,008 is: 1,088,702.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,651 : 712,008 = 712,008 : x
  2. Step 2: Convert to fraction form
    465,651/712,008 = 712,008/x
  3. Step 3: Cross multiply
    465,651x = 712,008 × 712,008
  4. Step 4: Simplify right side
    465,651x = 506,955,392,064
  5. Step 5: Solve for x
    x = 506,955,392,064/465,651
  6. Step 6: Final answer
    x = 1,088,702.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.