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Finding the Third Proportional to 261,724 and 564,896

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Solution

The third proportional to 261,724 and 564,896 is: 1,219,251.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,724 : 564,896 = 564,896 : x
  2. Step 2: Convert to fraction form
    261,724/564,896 = 564,896/x
  3. Step 3: Cross multiply
    261,724x = 564,896 × 564,896
  4. Step 4: Simplify right side
    261,724x = 319,107,490,816
  5. Step 5: Solve for x
    x = 319,107,490,816/261,724
  6. Step 6: Final answer
    x = 1,219,251.92

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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.