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Finding the Third Proportional to 281,656 and 626,284

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Solution

The third proportional to 281,656 and 626,284 is: 1,392,591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,656 : 626,284 = 626,284 : x
  2. Step 2: Convert to fraction form
    281,656/626,284 = 626,284/x
  3. Step 3: Cross multiply
    281,656x = 626,284 × 626,284
  4. Step 4: Simplify right side
    281,656x = 392,231,648,656
  5. Step 5: Solve for x
    x = 392,231,648,656/281,656
  6. Step 6: Final answer
    x = 1,392,591.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.