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Finding the Third Proportional to 286,092 and 420,379

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Solution

The third proportional to 286,092 and 420,379 is: 617,698.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,092 : 420,379 = 420,379 : x
  2. Step 2: Convert to fraction form
    286,092/420,379 = 420,379/x
  3. Step 3: Cross multiply
    286,092x = 420,379 × 420,379
  4. Step 4: Simplify right side
    286,092x = 176,718,503,641
  5. Step 5: Solve for x
    x = 176,718,503,641/286,092
  6. Step 6: Final answer
    x = 617,698.17

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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.