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Finding the Third Proportional to 349,984.13 and 735,220.13

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Solution

The third proportional to 349,984.13 and 735,220.13 is: 1,544,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,984.13 : 735,220.13 = 735,220.13 : x
  2. Step 2: Convert to fraction form
    349,984.13/735,220.13 = 735,220.13/x
  3. Step 3: Cross multiply
    349,984.13x = 735,220.13 × 735,220.13
  4. Step 4: Simplify right side
    349,984.13x = 540,548,632,205.02
  5. Step 5: Solve for x
    x = 540,548,632,205.02/349,984.13
  6. Step 6: Final answer
    x = 1,544,494.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.