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Finding the Third Proportional to 277,050.38 and 598,387.50

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Solution

The third proportional to 277,050.38 and 598,387.50 is: 1,292,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,050.38 : 598,387.50 = 598,387.50 : x
  2. Step 2: Convert to fraction form
    277,050.38/598,387.50 = 598,387.50/x
  3. Step 3: Cross multiply
    277,050.38x = 598,387.50 × 598,387.50
  4. Step 4: Simplify right side
    277,050.38x = 358,067,600,156.25
  5. Step 5: Solve for x
    x = 358,067,600,156.25/277,050.38
  6. Step 6: Final answer
    x = 1,292,427.78

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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.