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Finding the Third Proportional to 316,550 and 683,041

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Solution

The third proportional to 316,550 and 683,041 is: 1,473,843.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,550 : 683,041 = 683,041 : x
  2. Step 2: Convert to fraction form
    316,550/683,041 = 683,041/x
  3. Step 3: Cross multiply
    316,550x = 683,041 × 683,041
  4. Step 4: Simplify right side
    316,550x = 466,545,007,681
  5. Step 5: Solve for x
    x = 466,545,007,681/316,550
  6. Step 6: Final answer
    x = 1,473,843.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.