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Finding the Third Proportional to 564,864 and 865,332

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Solution

The third proportional to 564,864 and 865,332 is: 1,325,627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,864 : 865,332 = 865,332 : x
  2. Step 2: Convert to fraction form
    564,864/865,332 = 865,332/x
  3. Step 3: Cross multiply
    564,864x = 865,332 × 865,332
  4. Step 4: Simplify right side
    564,864x = 748,799,470,224
  5. Step 5: Solve for x
    x = 748,799,470,224/564,864
  6. Step 6: Final answer
    x = 1,325,627.89

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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.