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Finding the Third Proportional to 403,926.75 and 627,220.13

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Solution

The third proportional to 403,926.75 and 627,220.13 is: 973,951.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,926.75 : 627,220.13 = 627,220.13 : x
  2. Step 2: Convert to fraction form
    403,926.75/627,220.13 = 627,220.13/x
  3. Step 3: Cross multiply
    403,926.75x = 627,220.13 × 627,220.13
  4. Step 4: Simplify right side
    403,926.75x = 393,405,085,205.02
  5. Step 5: Solve for x
    x = 393,405,085,205.02/403,926.75
  6. Step 6: Final answer
    x = 973,951.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.