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Finding the Third Proportional to 414,841.88 and 651,842.50

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Solution

The third proportional to 414,841.88 and 651,842.50 is: 1,024,242.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,841.88 : 651,842.50 = 651,842.50 : x
  2. Step 2: Convert to fraction form
    414,841.88/651,842.50 = 651,842.50/x
  3. Step 3: Cross multiply
    414,841.88x = 651,842.50 × 651,842.50
  4. Step 4: Simplify right side
    414,841.88x = 424,898,644,806.25
  5. Step 5: Solve for x
    x = 424,898,644,806.25/414,841.88
  6. Step 6: Final answer
    x = 1,024,242.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.