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Finding the Third Proportional to 564,192 and 864,192

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Solution

The third proportional to 564,192 and 864,192 is: 1,323,712.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,192 : 864,192 = 864,192 : x
  2. Step 2: Convert to fraction form
    564,192/864,192 = 864,192/x
  3. Step 3: Cross multiply
    564,192x = 864,192 × 864,192
  4. Step 4: Simplify right side
    564,192x = 746,827,812,864
  5. Step 5: Solve for x
    x = 746,827,812,864/564,192
  6. Step 6: Final answer
    x = 1,323,712.16

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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.