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Finding the Third Proportional to 426,282.75 and 615,853.13

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Solution

The third proportional to 426,282.75 and 615,853.13 is: 889,726.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,282.75 : 615,853.13 = 615,853.13 : x
  2. Step 2: Convert to fraction form
    426,282.75/615,853.13 = 615,853.13/x
  3. Step 3: Cross multiply
    426,282.75x = 615,853.13 × 615,853.13
  4. Step 4: Simplify right side
    426,282.75x = 379,275,071,572.27
  5. Step 5: Solve for x
    x = 379,275,071,572.27/426,282.75
  6. Step 6: Final answer
    x = 889,726.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.