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Finding the Third Proportional to 376,498.13 and 526,611.38

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Solution

The third proportional to 376,498.13 and 526,611.38 is: 736,576.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,498.13 : 526,611.38 = 526,611.38 : x
  2. Step 2: Convert to fraction form
    376,498.13/526,611.38 = 526,611.38/x
  3. Step 3: Cross multiply
    376,498.13x = 526,611.38 × 526,611.38
  4. Step 4: Simplify right side
    376,498.13x = 277,319,540,279.39
  5. Step 5: Solve for x
    x = 277,319,540,279.39/376,498.13
  6. Step 6: Final answer
    x = 736,576.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.