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Finding the Third Proportional to 348,649 and 752,594

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Solution

The third proportional to 348,649 and 752,594 is: 1,624,549.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,649 : 752,594 = 752,594 : x
  2. Step 2: Convert to fraction form
    348,649/752,594 = 752,594/x
  3. Step 3: Cross multiply
    348,649x = 752,594 × 752,594
  4. Step 4: Simplify right side
    348,649x = 566,397,728,836
  5. Step 5: Solve for x
    x = 566,397,728,836/348,649
  6. Step 6: Final answer
    x = 1,624,549.99

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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.