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Finding the Third Proportional to 432,344.25 and 615,881.25

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Solution

The third proportional to 432,344.25 and 615,881.25 is: 877,332.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,344.25 : 615,881.25 = 615,881.25 : x
  2. Step 2: Convert to fraction form
    432,344.25/615,881.25 = 615,881.25/x
  3. Step 3: Cross multiply
    432,344.25x = 615,881.25 × 615,881.25
  4. Step 4: Simplify right side
    432,344.25x = 379,309,714,101.56
  5. Step 5: Solve for x
    x = 379,309,714,101.56/432,344.25
  6. Step 6: Final answer
    x = 877,332.62

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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.