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Finding the Third Proportional to 375,621.75 and 769,695.75

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Solution

The third proportional to 375,621.75 and 769,695.75 is: 1,577,202.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,621.75 : 769,695.75 = 769,695.75 : x
  2. Step 2: Convert to fraction form
    375,621.75/769,695.75 = 769,695.75/x
  3. Step 3: Cross multiply
    375,621.75x = 769,695.75 × 769,695.75
  4. Step 4: Simplify right side
    375,621.75x = 592,431,547,568.06
  5. Step 5: Solve for x
    x = 592,431,547,568.06/375,621.75
  6. Step 6: Final answer
    x = 1,577,202.46

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.