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Finding the Third Proportional to 268,360 and 578,762

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Solution

The third proportional to 268,360 and 578,762 is: 1,248,194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,360 : 578,762 = 578,762 : x
  2. Step 2: Convert to fraction form
    268,360/578,762 = 578,762/x
  3. Step 3: Cross multiply
    268,360x = 578,762 × 578,762
  4. Step 4: Simplify right side
    268,360x = 334,965,452,644
  5. Step 5: Solve for x
    x = 334,965,452,644/268,360
  6. Step 6: Final answer
    x = 1,248,194.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.