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Finding the Third Proportional to 258,612.75 and 402,316.88

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Solution

The third proportional to 258,612.75 and 402,316.88 is: 625,873.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,612.75 : 402,316.88 = 402,316.88 : x
  2. Step 2: Convert to fraction form
    258,612.75/402,316.88 = 402,316.88/x
  3. Step 3: Cross multiply
    258,612.75x = 402,316.88 × 402,316.88
  4. Step 4: Simplify right side
    258,612.75x = 161,858,867,909.77
  5. Step 5: Solve for x
    x = 161,858,867,909.77/258,612.75
  6. Step 6: Final answer
    x = 625,873.50

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.