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Finding the Third Proportional to 465,472 and 711,746

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Solution

The third proportional to 465,472 and 711,746 is: 1,088,319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,472 : 711,746 = 711,746 : x
  2. Step 2: Convert to fraction form
    465,472/711,746 = 711,746/x
  3. Step 3: Cross multiply
    465,472x = 711,746 × 711,746
  4. Step 4: Simplify right side
    465,472x = 506,582,368,516
  5. Step 5: Solve for x
    x = 506,582,368,516/465,472
  6. Step 6: Final answer
    x = 1,088,319.75

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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.