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Finding the Third Proportional to 374,116.50 and 822,970.13

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Solution

The third proportional to 374,116.50 and 822,970.13 is: 1,810,344.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,116.50 : 822,970.13 = 822,970.13 : x
  2. Step 2: Convert to fraction form
    374,116.50/822,970.13 = 822,970.13/x
  3. Step 3: Cross multiply
    374,116.50x = 822,970.13 × 822,970.13
  4. Step 4: Simplify right side
    374,116.50x = 677,279,826,642.52
  5. Step 5: Solve for x
    x = 677,279,826,642.52/374,116.50
  6. Step 6: Final answer
    x = 1,810,344.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.