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Finding the Third Proportional to 564,814.69 and 860,473.13

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Solution

The third proportional to 564,814.69 and 860,473.13 is: 1,310,897.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,814.69 : 860,473.13 = 860,473.13 : x
  2. Step 2: Convert to fraction form
    564,814.69/860,473.13 = 860,473.13/x
  3. Step 3: Cross multiply
    564,814.69x = 860,473.13 × 860,473.13
  4. Step 4: Simplify right side
    564,814.69x = 740,413,998,847.27
  5. Step 5: Solve for x
    x = 740,413,998,847.27/564,814.69
  6. Step 6: Final answer
    x = 1,310,897.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.