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Finding the Third Proportional to 349,764.75 and 531,478.13

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Solution

The third proportional to 349,764.75 and 531,478.13 is: 807,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,764.75 : 531,478.13 = 531,478.13 : x
  2. Step 2: Convert to fraction form
    349,764.75/531,478.13 = 531,478.13/x
  3. Step 3: Cross multiply
    349,764.75x = 531,478.13 × 531,478.13
  4. Step 4: Simplify right side
    349,764.75x = 282,468,997,353.52
  5. Step 5: Solve for x
    x = 282,468,997,353.52/349,764.75
  6. Step 6: Final answer
    x = 807,597.10

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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.