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Finding the Third Proportional to 452,101.50 and 615,684.38

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Solution

The third proportional to 452,101.50 and 615,684.38 is: 838,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,101.50 : 615,684.38 = 615,684.38 : x
  2. Step 2: Convert to fraction form
    452,101.50/615,684.38 = 615,684.38/x
  3. Step 3: Cross multiply
    452,101.50x = 615,684.38 × 615,684.38
  4. Step 4: Simplify right side
    452,101.50x = 379,067,249,619.14
  5. Step 5: Solve for x
    x = 379,067,249,619.14/452,101.50
  6. Step 6: Final answer
    x = 838,456.08

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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.