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Finding the Third Proportional to 414,877.50 and 626,132

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Solution

The third proportional to 414,877.50 and 626,132 is: 944,956.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,877.50 : 626,132 = 626,132 : x
  2. Step 2: Convert to fraction form
    414,877.50/626,132 = 626,132/x
  3. Step 3: Cross multiply
    414,877.50x = 626,132 × 626,132
  4. Step 4: Simplify right side
    414,877.50x = 392,041,281,424
  5. Step 5: Solve for x
    x = 392,041,281,424/414,877.50
  6. Step 6: Final answer
    x = 944,956.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.