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Finding the Third Proportional to 242,694 and 379,887

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Solution

The third proportional to 242,694 and 379,887 is: 594,634.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,694 : 379,887 = 379,887 : x
  2. Step 2: Convert to fraction form
    242,694/379,887 = 379,887/x
  3. Step 3: Cross multiply
    242,694x = 379,887 × 379,887
  4. Step 4: Simplify right side
    242,694x = 144,314,132,769
  5. Step 5: Solve for x
    x = 144,314,132,769/242,694
  6. Step 6: Final answer
    x = 594,634.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.