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Finding the Third Proportional to 464,901.75 and 718,392.75

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Solution

The third proportional to 464,901.75 and 718,392.75 is: 1,110,101.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,901.75 : 718,392.75 = 718,392.75 : x
  2. Step 2: Convert to fraction form
    464,901.75/718,392.75 = 718,392.75/x
  3. Step 3: Cross multiply
    464,901.75x = 718,392.75 × 718,392.75
  4. Step 4: Simplify right side
    464,901.75x = 516,088,143,252.56
  5. Step 5: Solve for x
    x = 516,088,143,252.56/464,901.75
  6. Step 6: Final answer
    x = 1,110,101.53

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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.