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Finding the Third Proportional to 281,252 and 615,928

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Solution

The third proportional to 281,252 and 615,928 is: 1,348,851.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,252 : 615,928 = 615,928 : x
  2. Step 2: Convert to fraction form
    281,252/615,928 = 615,928/x
  3. Step 3: Cross multiply
    281,252x = 615,928 × 615,928
  4. Step 4: Simplify right side
    281,252x = 379,367,301,184
  5. Step 5: Solve for x
    x = 379,367,301,184/281,252
  6. Step 6: Final answer
    x = 1,348,851.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.