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Finding the Third Proportional to 573,187.50 and 735,115.50

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Solution

The third proportional to 573,187.50 and 735,115.50 is: 942,788.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,187.50 : 735,115.50 = 735,115.50 : x
  2. Step 2: Convert to fraction form
    573,187.50/735,115.50 = 735,115.50/x
  3. Step 3: Cross multiply
    573,187.50x = 735,115.50 × 735,115.50
  4. Step 4: Simplify right side
    573,187.50x = 540,394,798,340.25
  5. Step 5: Solve for x
    x = 540,394,798,340.25/573,187.50
  6. Step 6: Final answer
    x = 942,788.88

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.