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Finding the Third Proportional to 347,922 and 538,717

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Solution

The third proportional to 347,922 and 538,717 is: 834,141.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,922 : 538,717 = 538,717 : x
  2. Step 2: Convert to fraction form
    347,922/538,717 = 538,717/x
  3. Step 3: Cross multiply
    347,922x = 538,717 × 538,717
  4. Step 4: Simplify right side
    347,922x = 290,216,006,089
  5. Step 5: Solve for x
    x = 290,216,006,089/347,922
  6. Step 6: Final answer
    x = 834,141.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.