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Finding the Third Proportional to 270,468 and 420,442

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Solution

The third proportional to 270,468 and 420,442 is: 653,576.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,468 : 420,442 = 420,442 : x
  2. Step 2: Convert to fraction form
    270,468/420,442 = 420,442/x
  3. Step 3: Cross multiply
    270,468x = 420,442 × 420,442
  4. Step 4: Simplify right side
    270,468x = 176,771,475,364
  5. Step 5: Solve for x
    x = 176,771,475,364/270,468
  6. Step 6: Final answer
    x = 653,576.30

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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.