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Finding the Third Proportional to 526,578.75 and 1,156,126.50

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Solution

The third proportional to 526,578.75 and 1,156,126.50 is: 2,538,325.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,578.75 : 1,156,126.50 = 1,156,126.50 : x
  2. Step 2: Convert to fraction form
    526,578.75/1,156,126.50 = 1,156,126.50/x
  3. Step 3: Cross multiply
    526,578.75x = 1,156,126.50 × 1,156,126.50
  4. Step 4: Simplify right side
    526,578.75x = 1,336,628,484,002.25
  5. Step 5: Solve for x
    x = 1,336,628,484,002.25/526,578.75
  6. Step 6: Final answer
    x = 2,538,325.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.