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Finding the Third Proportional to 413,300 and 876,199

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Solution

The third proportional to 413,300 and 876,199 is: 1,857,548.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,300 : 876,199 = 876,199 : x
  2. Step 2: Convert to fraction form
    413,300/876,199 = 876,199/x
  3. Step 3: Cross multiply
    413,300x = 876,199 × 876,199
  4. Step 4: Simplify right side
    413,300x = 767,724,687,601
  5. Step 5: Solve for x
    x = 767,724,687,601/413,300
  6. Step 6: Final answer
    x = 1,857,548.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.