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Finding the Third Proportional to 273,058 and 598,605

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Solution

The third proportional to 273,058 and 598,605 is: 1,312,277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,058 : 598,605 = 598,605 : x
  2. Step 2: Convert to fraction form
    273,058/598,605 = 598,605/x
  3. Step 3: Cross multiply
    273,058x = 598,605 × 598,605
  4. Step 4: Simplify right side
    273,058x = 358,327,946,025
  5. Step 5: Solve for x
    x = 358,327,946,025/273,058
  6. Step 6: Final answer
    x = 1,312,277.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.