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Finding the Third Proportional to 349,737.75 and 531,442.69

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Solution

The third proportional to 349,737.75 and 531,442.69 is: 807,551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,737.75 : 531,442.69 = 531,442.69 : x
  2. Step 2: Convert to fraction form
    349,737.75/531,442.69 = 531,442.69/x
  3. Step 3: Cross multiply
    349,737.75x = 531,442.69 × 531,442.69
  4. Step 4: Simplify right side
    349,737.75x = 282,431,330,097.22
  5. Step 5: Solve for x
    x = 282,431,330,097.22/349,737.75
  6. Step 6: Final answer
    x = 807,551.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.