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Finding the Third Proportional to 348,851 and 753,466

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Solution

The third proportional to 348,851 and 753,466 is: 1,627,373.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,851 : 753,466 = 753,466 : x
  2. Step 2: Convert to fraction form
    348,851/753,466 = 753,466/x
  3. Step 3: Cross multiply
    348,851x = 753,466 × 753,466
  4. Step 4: Simplify right side
    348,851x = 567,711,013,156
  5. Step 5: Solve for x
    x = 567,711,013,156/348,851
  6. Step 6: Final answer
    x = 1,627,373.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.