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Finding the Third Proportional to 515,184.50 and 788,116.75

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Solution

The third proportional to 515,184.50 and 788,116.75 is: 1,205,641.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,184.50 : 788,116.75 = 788,116.75 : x
  2. Step 2: Convert to fraction form
    515,184.50/788,116.75 = 788,116.75/x
  3. Step 3: Cross multiply
    515,184.50x = 788,116.75 × 788,116.75
  4. Step 4: Simplify right side
    515,184.50x = 621,128,011,630.56
  5. Step 5: Solve for x
    x = 621,128,011,630.56/515,184.50
  6. Step 6: Final answer
    x = 1,205,641.88

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.