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Finding the Third Proportional to 374,922.42 and 821,041.95

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Solution

The third proportional to 374,922.42 and 821,041.95 is: 1,797,998.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,922.42 : 821,041.95 = 821,041.95 : x
  2. Step 2: Convert to fraction form
    374,922.42/821,041.95 = 821,041.95/x
  3. Step 3: Cross multiply
    374,922.42x = 821,041.95 × 821,041.95
  4. Step 4: Simplify right side
    374,922.42x = 674,109,875,962.53
  5. Step 5: Solve for x
    x = 674,109,875,962.53/374,922.42
  6. Step 6: Final answer
    x = 1,797,998.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.