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Finding the Third Proportional to 598,524 and 839,850

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Solution

The third proportional to 598,524 and 839,850 is: 1,178,479.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,524 : 839,850 = 839,850 : x
  2. Step 2: Convert to fraction form
    598,524/839,850 = 839,850/x
  3. Step 3: Cross multiply
    598,524x = 839,850 × 839,850
  4. Step 4: Simplify right side
    598,524x = 705,348,022,500
  5. Step 5: Solve for x
    x = 705,348,022,500/598,524
  6. Step 6: Final answer
    x = 1,178,479.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.