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Finding the Third Proportional to 432,338.25 and 615,873.94

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Solution

The third proportional to 432,338.25 and 615,873.94 is: 877,323.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,338.25 : 615,873.94 = 615,873.94 : x
  2. Step 2: Convert to fraction form
    432,338.25/615,873.94 = 615,873.94/x
  3. Step 3: Cross multiply
    432,338.25x = 615,873.94 × 615,873.94
  4. Step 4: Simplify right side
    432,338.25x = 379,300,706,891.75
  5. Step 5: Solve for x
    x = 379,300,706,891.75/432,338.25
  6. Step 6: Final answer
    x = 877,323.96

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.