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Finding the Third Proportional to 349,550 and 526,055

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Solution

The third proportional to 349,550 and 526,055 is: 791,686.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,550 : 526,055 = 526,055 : x
  2. Step 2: Convert to fraction form
    349,550/526,055 = 526,055/x
  3. Step 3: Cross multiply
    349,550x = 526,055 × 526,055
  4. Step 4: Simplify right side
    349,550x = 276,733,863,025
  5. Step 5: Solve for x
    x = 276,733,863,025/349,550
  6. Step 6: Final answer
    x = 791,686.06

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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.