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Finding the Third Proportional to 281,564 and 615,616

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Solution

The third proportional to 281,564 and 615,616 is: 1,345,992.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,564 : 615,616 = 615,616 : x
  2. Step 2: Convert to fraction form
    281,564/615,616 = 615,616/x
  3. Step 3: Cross multiply
    281,564x = 615,616 × 615,616
  4. Step 4: Simplify right side
    281,564x = 378,983,059,456
  5. Step 5: Solve for x
    x = 378,983,059,456/281,564
  6. Step 6: Final answer
    x = 1,345,992.60

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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.