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Finding the Third Proportional to 274,830 and 437,181

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Solution

The third proportional to 274,830 and 437,181 is: 695,438.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,830 : 437,181 = 437,181 : x
  2. Step 2: Convert to fraction form
    274,830/437,181 = 437,181/x
  3. Step 3: Cross multiply
    274,830x = 437,181 × 437,181
  4. Step 4: Simplify right side
    274,830x = 191,127,226,761
  5. Step 5: Solve for x
    x = 191,127,226,761/274,830
  6. Step 6: Final answer
    x = 695,438.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.