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Finding the Third Proportional to 452,121.75 and 615,714.75

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Solution

The third proportional to 452,121.75 and 615,714.75 is: 838,501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,121.75 : 615,714.75 = 615,714.75 : x
  2. Step 2: Convert to fraction form
    452,121.75/615,714.75 = 615,714.75/x
  3. Step 3: Cross multiply
    452,121.75x = 615,714.75 × 615,714.75
  4. Step 4: Simplify right side
    452,121.75x = 379,104,653,367.56
  5. Step 5: Solve for x
    x = 379,104,653,367.56/452,121.75
  6. Step 6: Final answer
    x = 838,501.25

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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.