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Finding the Third Proportional to 374,019 and 822,760.50

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Solution

The third proportional to 374,019 and 822,760.50 is: 1,809,894.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,019 : 822,760.50 = 822,760.50 : x
  2. Step 2: Convert to fraction form
    374,019/822,760.50 = 822,760.50/x
  3. Step 3: Cross multiply
    374,019x = 822,760.50 × 822,760.50
  4. Step 4: Simplify right side
    374,019x = 676,934,840,360.25
  5. Step 5: Solve for x
    x = 676,934,840,360.25/374,019
  6. Step 6: Final answer
    x = 1,809,894.26

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