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Finding the Third Proportional to 273,740 and 588,376

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Solution

The third proportional to 273,740 and 588,376 is: 1,264,653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,740 : 588,376 = 588,376 : x
  2. Step 2: Convert to fraction form
    273,740/588,376 = 588,376/x
  3. Step 3: Cross multiply
    273,740x = 588,376 × 588,376
  4. Step 4: Simplify right side
    273,740x = 346,186,317,376
  5. Step 5: Solve for x
    x = 346,186,317,376/273,740
  6. Step 6: Final answer
    x = 1,264,653.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.