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Finding the Third Proportional to 274,882 and 596,412

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Solution

The third proportional to 274,882 and 596,412 is: 1,294,036.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,882 : 596,412 = 596,412 : x
  2. Step 2: Convert to fraction form
    274,882/596,412 = 596,412/x
  3. Step 3: Cross multiply
    274,882x = 596,412 × 596,412
  4. Step 4: Simplify right side
    274,882x = 355,707,273,744
  5. Step 5: Solve for x
    x = 355,707,273,744/274,882
  6. Step 6: Final answer
    x = 1,294,036.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.