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Finding the Third Proportional to 456,956 and 711,432

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Solution

The third proportional to 456,956 and 711,432 is: 1,107,624.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,956 : 711,432 = 711,432 : x
  2. Step 2: Convert to fraction form
    456,956/711,432 = 711,432/x
  3. Step 3: Cross multiply
    456,956x = 711,432 × 711,432
  4. Step 4: Simplify right side
    456,956x = 506,135,490,624
  5. Step 5: Solve for x
    x = 506,135,490,624/456,956
  6. Step 6: Final answer
    x = 1,107,624.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.