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Finding the Third Proportional to 280,388 and 615,059

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Solution

The third proportional to 280,388 and 615,059 is: 1,349,193.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,388 : 615,059 = 615,059 : x
  2. Step 2: Convert to fraction form
    280,388/615,059 = 615,059/x
  3. Step 3: Cross multiply
    280,388x = 615,059 × 615,059
  4. Step 4: Simplify right side
    280,388x = 378,297,573,481
  5. Step 5: Solve for x
    x = 378,297,573,481/280,388
  6. Step 6: Final answer
    x = 1,349,193.17

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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.