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Finding the Third Proportional to 341,508 and 748,353

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Solution

The third proportional to 341,508 and 748,353 is: 1,639,880.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,508 : 748,353 = 748,353 : x
  2. Step 2: Convert to fraction form
    341,508/748,353 = 748,353/x
  3. Step 3: Cross multiply
    341,508x = 748,353 × 748,353
  4. Step 4: Simplify right side
    341,508x = 560,032,212,609
  5. Step 5: Solve for x
    x = 560,032,212,609/341,508
  6. Step 6: Final answer
    x = 1,639,880.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.