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Finding the Third Proportional to 273,931 and 597,690

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Solution

The third proportional to 273,931 and 597,690 is: 1,304,099.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,931 : 597,690 = 597,690 : x
  2. Step 2: Convert to fraction form
    273,931/597,690 = 597,690/x
  3. Step 3: Cross multiply
    273,931x = 597,690 × 597,690
  4. Step 4: Simplify right side
    273,931x = 357,233,336,100
  5. Step 5: Solve for x
    x = 357,233,336,100/273,931
  6. Step 6: Final answer
    x = 1,304,099.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.