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Finding the Third Proportional to 347,372 and 542,068

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Solution

The third proportional to 347,372 and 542,068 is: 845,887.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,372 : 542,068 = 542,068 : x
  2. Step 2: Convert to fraction form
    347,372/542,068 = 542,068/x
  3. Step 3: Cross multiply
    347,372x = 542,068 × 542,068
  4. Step 4: Simplify right side
    347,372x = 293,837,716,624
  5. Step 5: Solve for x
    x = 293,837,716,624/347,372
  6. Step 6: Final answer
    x = 845,887.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.