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Finding the Third Proportional to 349,540 and 526,038

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Solution

The third proportional to 349,540 and 526,038 is: 791,657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,540 : 526,038 = 526,038 : x
  2. Step 2: Convert to fraction form
    349,540/526,038 = 526,038/x
  3. Step 3: Cross multiply
    349,540x = 526,038 × 526,038
  4. Step 4: Simplify right side
    349,540x = 276,715,977,444
  5. Step 5: Solve for x
    x = 276,715,977,444/349,540
  6. Step 6: Final answer
    x = 791,657.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.