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Finding the Third Proportional to 517,307 and 798,102

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Solution

The third proportional to 517,307 and 798,102 is: 1,231,312.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,307 : 798,102 = 798,102 : x
  2. Step 2: Convert to fraction form
    517,307/798,102 = 798,102/x
  3. Step 3: Cross multiply
    517,307x = 798,102 × 798,102
  4. Step 4: Simplify right side
    517,307x = 636,966,802,404
  5. Step 5: Solve for x
    x = 636,966,802,404/517,307
  6. Step 6: Final answer
    x = 1,231,312.94

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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.