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Finding the Third Proportional to 560,062 and 844,143

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Solution

The third proportional to 560,062 and 844,143 is: 1,272,318.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,062 : 844,143 = 844,143 : x
  2. Step 2: Convert to fraction form
    560,062/844,143 = 844,143/x
  3. Step 3: Cross multiply
    560,062x = 844,143 × 844,143
  4. Step 4: Simplify right side
    560,062x = 712,577,404,449
  5. Step 5: Solve for x
    x = 712,577,404,449/560,062
  6. Step 6: Final answer
    x = 1,272,318.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.