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Finding the Third Proportional to 564,246 and 864,081

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Solution

The third proportional to 564,246 and 864,081 is: 1,323,245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,246 : 864,081 = 864,081 : x
  2. Step 2: Convert to fraction form
    564,246/864,081 = 864,081/x
  3. Step 3: Cross multiply
    564,246x = 864,081 × 864,081
  4. Step 4: Simplify right side
    564,246x = 746,635,974,561
  5. Step 5: Solve for x
    x = 746,635,974,561/564,246
  6. Step 6: Final answer
    x = 1,323,245.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.