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Finding the Third Proportional to 506,162 and 762,555

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Solution

The third proportional to 506,162 and 762,555 is: 1,148,822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,162 : 762,555 = 762,555 : x
  2. Step 2: Convert to fraction form
    506,162/762,555 = 762,555/x
  3. Step 3: Cross multiply
    506,162x = 762,555 × 762,555
  4. Step 4: Simplify right side
    506,162x = 581,490,128,025
  5. Step 5: Solve for x
    x = 581,490,128,025/506,162
  6. Step 6: Final answer
    x = 1,148,822.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.