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Finding the Third Proportional to 443,211 and 627,192.75

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Solution

The third proportional to 443,211 and 627,192.75 is: 887,547.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,211 : 627,192.75 = 627,192.75 : x
  2. Step 2: Convert to fraction form
    443,211/627,192.75 = 627,192.75/x
  3. Step 3: Cross multiply
    443,211x = 627,192.75 × 627,192.75
  4. Step 4: Simplify right side
    443,211x = 393,370,745,652.56
  5. Step 5: Solve for x
    x = 393,370,745,652.56/443,211
  6. Step 6: Final answer
    x = 887,547.34

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.