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Finding the Third Proportional to 270,448 and 420,413

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Solution

The third proportional to 270,448 and 420,413 is: 653,534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,448 : 420,413 = 420,413 : x
  2. Step 2: Convert to fraction form
    270,448/420,413 = 420,413/x
  3. Step 3: Cross multiply
    270,448x = 420,413 × 420,413
  4. Step 4: Simplify right side
    270,448x = 176,747,090,569
  5. Step 5: Solve for x
    x = 176,747,090,569/270,448
  6. Step 6: Final answer
    x = 653,534.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.