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Finding the Third Proportional to 237,778.88 and 526,827.38

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Solution

The third proportional to 237,778.88 and 526,827.38 is: 1,167,248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,778.88 : 526,827.38 = 526,827.38 : x
  2. Step 2: Convert to fraction form
    237,778.88/526,827.38 = 526,827.38/x
  3. Step 3: Cross multiply
    237,778.88x = 526,827.38 × 526,827.38
  4. Step 4: Simplify right side
    237,778.88x = 277,547,083,049.39
  5. Step 5: Solve for x
    x = 277,547,083,049.39/237,778.88
  6. Step 6: Final answer
    x = 1,167,248.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.