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Finding the Third Proportional to 348,170 and 761,948

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Solution

The third proportional to 348,170 and 761,948 is: 1,667,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,170 : 761,948 = 761,948 : x
  2. Step 2: Convert to fraction form
    348,170/761,948 = 761,948/x
  3. Step 3: Cross multiply
    348,170x = 761,948 × 761,948
  4. Step 4: Simplify right side
    348,170x = 580,564,754,704
  5. Step 5: Solve for x
    x = 580,564,754,704/348,170
  6. Step 6: Final answer
    x = 1,667,474.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.