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Finding the Third Proportional to 406,772 and 615,416

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Solution

The third proportional to 406,772 and 615,416 is: 931,078.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,772 : 615,416 = 615,416 : x
  2. Step 2: Convert to fraction form
    406,772/615,416 = 615,416/x
  3. Step 3: Cross multiply
    406,772x = 615,416 × 615,416
  4. Step 4: Simplify right side
    406,772x = 378,736,853,056
  5. Step 5: Solve for x
    x = 378,736,853,056/406,772
  6. Step 6: Final answer
    x = 931,078.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.