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Finding the Third Proportional to 531,724 and 817,300

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Solution

The third proportional to 531,724 and 817,300 is: 1,256,251.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,724 : 817,300 = 817,300 : x
  2. Step 2: Convert to fraction form
    531,724/817,300 = 817,300/x
  3. Step 3: Cross multiply
    531,724x = 817,300 × 817,300
  4. Step 4: Simplify right side
    531,724x = 667,979,290,000
  5. Step 5: Solve for x
    x = 667,979,290,000/531,724
  6. Step 6: Final answer
    x = 1,256,251.91

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.