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Finding the Third Proportional to 435,345 and 672,719.25

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Solution

The third proportional to 435,345 and 672,719.25 is: 1,039,523.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,345 : 672,719.25 = 672,719.25 : x
  2. Step 2: Convert to fraction form
    435,345/672,719.25 = 672,719.25/x
  3. Step 3: Cross multiply
    435,345x = 672,719.25 × 672,719.25
  4. Step 4: Simplify right side
    435,345x = 452,551,189,320.56
  5. Step 5: Solve for x
    x = 452,551,189,320.56/435,345
  6. Step 6: Final answer
    x = 1,039,523.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.