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Finding the Third Proportional to 517,331 and 798,146

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Solution

The third proportional to 517,331 and 798,146 is: 1,231,391.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,331 : 798,146 = 798,146 : x
  2. Step 2: Convert to fraction form
    517,331/798,146 = 798,146/x
  3. Step 3: Cross multiply
    517,331x = 798,146 × 798,146
  4. Step 4: Simplify right side
    517,331x = 637,037,037,316
  5. Step 5: Solve for x
    x = 637,037,037,316/517,331
  6. Step 6: Final answer
    x = 1,231,391.58

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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.