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Finding the Third Proportional to 452,098.69 and 615,681.56

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Solution

The third proportional to 452,098.69 and 615,681.56 is: 838,453.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,098.69 : 615,681.56 = 615,681.56 : x
  2. Step 2: Convert to fraction form
    452,098.69/615,681.56 = 615,681.56/x
  3. Step 3: Cross multiply
    452,098.69x = 615,681.56 × 615,681.56
  4. Step 4: Simplify right side
    452,098.69x = 379,063,786,402.44
  5. Step 5: Solve for x
    x = 379,063,786,402.44/452,098.69
  6. Step 6: Final answer
    x = 838,453.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.