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Finding the Third Proportional to 349,600 and 526,124

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Solution

The third proportional to 349,600 and 526,124 is: 791,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,600 : 526,124 = 526,124 : x
  2. Step 2: Convert to fraction form
    349,600/526,124 = 526,124/x
  3. Step 3: Cross multiply
    349,600x = 526,124 × 526,124
  4. Step 4: Simplify right side
    349,600x = 276,806,463,376
  5. Step 5: Solve for x
    x = 276,806,463,376/349,600
  6. Step 6: Final answer
    x = 791,780.50

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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.