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Finding the Third Proportional to 377,110.56 and 824,720.19

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Solution

The third proportional to 377,110.56 and 824,720.19 is: 1,803,617.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,110.56 : 824,720.19 = 824,720.19 : x
  2. Step 2: Convert to fraction form
    377,110.56/824,720.19 = 824,720.19/x
  3. Step 3: Cross multiply
    377,110.56x = 824,720.19 × 824,720.19
  4. Step 4: Simplify right side
    377,110.56x = 680,163,387,670.04
  5. Step 5: Solve for x
    x = 680,163,387,670.04/377,110.56
  6. Step 6: Final answer
    x = 1,803,617.97

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