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Finding the Third Proportional to 273,330 and 600,470

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Solution

The third proportional to 273,330 and 600,470 is: 1,319,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,330 : 600,470 = 600,470 : x
  2. Step 2: Convert to fraction form
    273,330/600,470 = 600,470/x
  3. Step 3: Cross multiply
    273,330x = 600,470 × 600,470
  4. Step 4: Simplify right side
    273,330x = 360,564,220,900
  5. Step 5: Solve for x
    x = 360,564,220,900/273,330
  6. Step 6: Final answer
    x = 1,319,153.48

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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.