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Finding the Third Proportional to 517,304 and 798,100

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Solution

The third proportional to 517,304 and 798,100 is: 1,231,313.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,304 : 798,100 = 798,100 : x
  2. Step 2: Convert to fraction form
    517,304/798,100 = 798,100/x
  3. Step 3: Cross multiply
    517,304x = 798,100 × 798,100
  4. Step 4: Simplify right side
    517,304x = 636,963,610,000
  5. Step 5: Solve for x
    x = 636,963,610,000/517,304
  6. Step 6: Final answer
    x = 1,231,313.91

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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.