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Finding the Third Proportional to 559,874 and 754,275

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Solution

The third proportional to 559,874 and 754,275 is: 1,016,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,874 : 754,275 = 754,275 : x
  2. Step 2: Convert to fraction form
    559,874/754,275 = 754,275/x
  3. Step 3: Cross multiply
    559,874x = 754,275 × 754,275
  4. Step 4: Simplify right side
    559,874x = 568,930,775,625
  5. Step 5: Solve for x
    x = 568,930,775,625/559,874
  6. Step 6: Final answer
    x = 1,016,176.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.