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Finding the Third Proportional to 275,320.13 and 609,598.13

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Solution

The third proportional to 275,320.13 and 609,598.13 is: 1,349,737.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,320.13 : 609,598.13 = 609,598.13 : x
  2. Step 2: Convert to fraction form
    275,320.13/609,598.13 = 609,598.13/x
  3. Step 3: Cross multiply
    275,320.13x = 609,598.13 × 609,598.13
  4. Step 4: Simplify right side
    275,320.13x = 371,609,874,003.52
  5. Step 5: Solve for x
    x = 371,609,874,003.52/275,320.13
  6. Step 6: Final answer
    x = 1,349,737.42

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.