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Finding the Third Proportional to 564,772.50 and 860,392.13

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Solution

The third proportional to 564,772.50 and 860,392.13 is: 1,310,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,772.50 : 860,392.13 = 860,392.13 : x
  2. Step 2: Convert to fraction form
    564,772.50/860,392.13 = 860,392.13/x
  3. Step 3: Cross multiply
    564,772.50x = 860,392.13 × 860,392.13
  4. Step 4: Simplify right side
    564,772.50x = 740,274,608,762.02
  5. Step 5: Solve for x
    x = 740,274,608,762.02/564,772.50
  6. Step 6: Final answer
    x = 1,310,748.33

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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.