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Finding the Third Proportional to 414,270 and 615,573

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Solution

The third proportional to 414,270 and 615,573 is: 914,693.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,270 : 615,573 = 615,573 : x
  2. Step 2: Convert to fraction form
    414,270/615,573 = 615,573/x
  3. Step 3: Cross multiply
    414,270x = 615,573 × 615,573
  4. Step 4: Simplify right side
    414,270x = 378,930,118,329
  5. Step 5: Solve for x
    x = 378,930,118,329/414,270
  6. Step 6: Final answer
    x = 914,693.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.