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Finding the Third Proportional to 465,432 and 711,684

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Solution

The third proportional to 465,432 and 711,684 is: 1,088,223.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,432 : 711,684 = 711,684 : x
  2. Step 2: Convert to fraction form
    465,432/711,684 = 711,684/x
  3. Step 3: Cross multiply
    465,432x = 711,684 × 711,684
  4. Step 4: Simplify right side
    465,432x = 506,494,115,856
  5. Step 5: Solve for x
    x = 506,494,115,856/465,432
  6. Step 6: Final answer
    x = 1,088,223.66

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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.