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Finding the Third Proportional to 285,202 and 615,619

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Solution

The third proportional to 285,202 and 615,619 is: 1,328,836.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,202 : 615,619 = 615,619 : x
  2. Step 2: Convert to fraction form
    285,202/615,619 = 615,619/x
  3. Step 3: Cross multiply
    285,202x = 615,619 × 615,619
  4. Step 4: Simplify right side
    285,202x = 378,986,753,161
  5. Step 5: Solve for x
    x = 378,986,753,161/285,202
  6. Step 6: Final answer
    x = 1,328,836.24

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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.