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Finding the Third Proportional to 349,239.94 and 629,110.13

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Solution

The third proportional to 349,239.94 and 629,110.13 is: 1,133,259.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,239.94 : 629,110.13 = 629,110.13 : x
  2. Step 2: Convert to fraction form
    349,239.94/629,110.13 = 629,110.13/x
  3. Step 3: Cross multiply
    349,239.94x = 629,110.13 × 629,110.13
  4. Step 4: Simplify right side
    349,239.94x = 395,779,549,377.52
  5. Step 5: Solve for x
    x = 395,779,549,377.52/349,239.94
  6. Step 6: Final answer
    x = 1,133,259.71

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.