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Finding the Third Proportional to 286,098 and 420,388

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Solution

The third proportional to 286,098 and 420,388 is: 617,711.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,098 : 420,388 = 420,388 : x
  2. Step 2: Convert to fraction form
    286,098/420,388 = 420,388/x
  3. Step 3: Cross multiply
    286,098x = 420,388 × 420,388
  4. Step 4: Simplify right side
    286,098x = 176,726,070,544
  5. Step 5: Solve for x
    x = 176,726,070,544/286,098
  6. Step 6: Final answer
    x = 617,711.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.