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Finding the Third Proportional to 273,328 and 600,466

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Solution

The third proportional to 273,328 and 600,466 is: 1,319,145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,328 : 600,466 = 600,466 : x
  2. Step 2: Convert to fraction form
    273,328/600,466 = 600,466/x
  3. Step 3: Cross multiply
    273,328x = 600,466 × 600,466
  4. Step 4: Simplify right side
    273,328x = 360,559,417,156
  5. Step 5: Solve for x
    x = 360,559,417,156/273,328
  6. Step 6: Final answer
    x = 1,319,145.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.