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Finding the Third Proportional to 420,228 and 640,062

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Solution

The third proportional to 420,228 and 640,062 is: 974,897.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,228 : 640,062 = 640,062 : x
  2. Step 2: Convert to fraction form
    420,228/640,062 = 640,062/x
  3. Step 3: Cross multiply
    420,228x = 640,062 × 640,062
  4. Step 4: Simplify right side
    420,228x = 409,679,363,844
  5. Step 5: Solve for x
    x = 409,679,363,844/420,228
  6. Step 6: Final answer
    x = 974,897.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.