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Finding the Third Proportional to 341,750 and 526,011

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Solution

The third proportional to 341,750 and 526,011 is: 809,619.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,750 : 526,011 = 526,011 : x
  2. Step 2: Convert to fraction form
    341,750/526,011 = 526,011/x
  3. Step 3: Cross multiply
    341,750x = 526,011 × 526,011
  4. Step 4: Simplify right side
    341,750x = 276,687,572,121
  5. Step 5: Solve for x
    x = 276,687,572,121/341,750
  6. Step 6: Final answer
    x = 809,619.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.