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Finding the Third Proportional to 415,260 and 545,251.50

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Solution

The third proportional to 415,260 and 545,251.50 is: 715,935.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,260 : 545,251.50 = 545,251.50 : x
  2. Step 2: Convert to fraction form
    415,260/545,251.50 = 545,251.50/x
  3. Step 3: Cross multiply
    415,260x = 545,251.50 × 545,251.50
  4. Step 4: Simplify right side
    415,260x = 297,299,198,252.25
  5. Step 5: Solve for x
    x = 297,299,198,252.25/415,260
  6. Step 6: Final answer
    x = 715,935.07

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.