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Finding the Third Proportional to 282,932 and 615,628

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Solution

The third proportional to 282,932 and 615,628 is: 1,339,536.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,932 : 615,628 = 615,628 : x
  2. Step 2: Convert to fraction form
    282,932/615,628 = 615,628/x
  3. Step 3: Cross multiply
    282,932x = 615,628 × 615,628
  4. Step 4: Simplify right side
    282,932x = 378,997,834,384
  5. Step 5: Solve for x
    x = 378,997,834,384/282,932
  6. Step 6: Final answer
    x = 1,339,536.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.