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Finding the Third Proportional to 524,714 and 810,261

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Solution

The third proportional to 524,714 and 810,261 is: 1,251,201.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,714 : 810,261 = 810,261 : x
  2. Step 2: Convert to fraction form
    524,714/810,261 = 810,261/x
  3. Step 3: Cross multiply
    524,714x = 810,261 × 810,261
  4. Step 4: Simplify right side
    524,714x = 656,522,888,121
  5. Step 5: Solve for x
    x = 656,522,888,121/524,714
  6. Step 6: Final answer
    x = 1,251,201.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.