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Finding the Third Proportional to 284,802 and 615,288

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Solution

The third proportional to 284,802 and 615,288 is: 1,329,272.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,802 : 615,288 = 615,288 : x
  2. Step 2: Convert to fraction form
    284,802/615,288 = 615,288/x
  3. Step 3: Cross multiply
    284,802x = 615,288 × 615,288
  4. Step 4: Simplify right side
    284,802x = 378,579,322,944
  5. Step 5: Solve for x
    x = 378,579,322,944/284,802
  6. Step 6: Final answer
    x = 1,329,272.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.