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Finding the Third Proportional to 348,487 and 755,982

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Solution

The third proportional to 348,487 and 755,982 is: 1,639,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,487 : 755,982 = 755,982 : x
  2. Step 2: Convert to fraction form
    348,487/755,982 = 755,982/x
  3. Step 3: Cross multiply
    348,487x = 755,982 × 755,982
  4. Step 4: Simplify right side
    348,487x = 571,508,784,324
  5. Step 5: Solve for x
    x = 571,508,784,324/348,487
  6. Step 6: Final answer
    x = 1,639,971.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.