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Finding the Third Proportional to 564,778.69 and 860,411.81

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Solution

The third proportional to 564,778.69 and 860,411.81 is: 1,310,793.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,778.69 : 860,411.81 = 860,411.81 : x
  2. Step 2: Convert to fraction form
    564,778.69/860,411.81 = 860,411.81/x
  3. Step 3: Cross multiply
    564,778.69x = 860,411.81 × 860,411.81
  4. Step 4: Simplify right side
    564,778.69x = 740,308,487,089.54
  5. Step 5: Solve for x
    x = 740,308,487,089.54/564,778.69
  6. Step 6: Final answer
    x = 1,310,793.95

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