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Finding the Third Proportional to 277,060.92 and 598,327.59

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Solution

The third proportional to 277,060.92 and 598,327.59 is: 1,292,119.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,060.92 : 598,327.59 = 598,327.59 : x
  2. Step 2: Convert to fraction form
    277,060.92/598,327.59 = 598,327.59/x
  3. Step 3: Cross multiply
    277,060.92x = 598,327.59 × 598,327.59
  4. Step 4: Simplify right side
    277,060.92x = 357,995,909,442.67
  5. Step 5: Solve for x
    x = 357,995,909,442.67/277,060.92
  6. Step 6: Final answer
    x = 1,292,119.82

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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.