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Finding the Third Proportional to 414,823.78 and 626,051.53

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Solution

The third proportional to 414,823.78 and 626,051.53 is: 944,836.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,823.78 : 626,051.53 = 626,051.53 : x
  2. Step 2: Convert to fraction form
    414,823.78/626,051.53 = 626,051.53/x
  3. Step 3: Cross multiply
    414,823.78x = 626,051.53 × 626,051.53
  4. Step 4: Simplify right side
    414,823.78x = 391,940,519,780.47
  5. Step 5: Solve for x
    x = 391,940,519,780.47/414,823.78
  6. Step 6: Final answer
    x = 944,836.19

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Why These Related Problems?

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