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Finding the Third Proportional to 273,332 and 586,800

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Solution

The third proportional to 273,332 and 586,800 is: 1,259,765.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,332 : 586,800 = 586,800 : x
  2. Step 2: Convert to fraction form
    273,332/586,800 = 586,800/x
  3. Step 3: Cross multiply
    273,332x = 586,800 × 586,800
  4. Step 4: Simplify right side
    273,332x = 344,334,240,000
  5. Step 5: Solve for x
    x = 344,334,240,000/273,332
  6. Step 6: Final answer
    x = 1,259,765.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.