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Finding the Third Proportional to 349,191 and 455,442.75

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Solution

The third proportional to 349,191 and 455,442.75 is: 594,024.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,191 : 455,442.75 = 455,442.75 : x
  2. Step 2: Convert to fraction form
    349,191/455,442.75 = 455,442.75/x
  3. Step 3: Cross multiply
    349,191x = 455,442.75 × 455,442.75
  4. Step 4: Simplify right side
    349,191x = 207,428,098,527.56
  5. Step 5: Solve for x
    x = 207,428,098,527.56/349,191
  6. Step 6: Final answer
    x = 594,024.76

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.