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Finding the Third Proportional to 345,627 and 536,418

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Solution

The third proportional to 345,627 and 536,418 is: 832,528.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,627 : 536,418 = 536,418 : x
  2. Step 2: Convert to fraction form
    345,627/536,418 = 536,418/x
  3. Step 3: Cross multiply
    345,627x = 536,418 × 536,418
  4. Step 4: Simplify right side
    345,627x = 287,744,270,724
  5. Step 5: Solve for x
    x = 287,744,270,724/345,627
  6. Step 6: Final answer
    x = 832,528.33

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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.