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Finding the Third Proportional to 261,494 and 564,460

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Solution

The third proportional to 261,494 and 564,460 is: 1,218,441.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,494 : 564,460 = 564,460 : x
  2. Step 2: Convert to fraction form
    261,494/564,460 = 564,460/x
  3. Step 3: Cross multiply
    261,494x = 564,460 × 564,460
  4. Step 4: Simplify right side
    261,494x = 318,615,091,600
  5. Step 5: Solve for x
    x = 318,615,091,600/261,494
  6. Step 6: Final answer
    x = 1,218,441.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.