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Finding the Third Proportional to 524,856 and 787,146.75

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Solution

The third proportional to 524,856 and 787,146.75 is: 1,180,514.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,856 : 787,146.75 = 787,146.75 : x
  2. Step 2: Convert to fraction form
    524,856/787,146.75 = 787,146.75/x
  3. Step 3: Cross multiply
    524,856x = 787,146.75 × 787,146.75
  4. Step 4: Simplify right side
    524,856x = 619,600,006,035.56
  5. Step 5: Solve for x
    x = 619,600,006,035.56/524,856
  6. Step 6: Final answer
    x = 1,180,514.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.