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Finding the Third Proportional to 348,583 and 755,780

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Solution

The third proportional to 348,583 and 755,780 is: 1,638,643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,583 : 755,780 = 755,780 : x
  2. Step 2: Convert to fraction form
    348,583/755,780 = 755,780/x
  3. Step 3: Cross multiply
    348,583x = 755,780 × 755,780
  4. Step 4: Simplify right side
    348,583x = 571,203,408,400
  5. Step 5: Solve for x
    x = 571,203,408,400/348,583
  6. Step 6: Final answer
    x = 1,638,643.91

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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.