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Finding the Third Proportional to 327,624 and 716,808

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Solution

The third proportional to 327,624 and 716,808 is: 1,568,303.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,624 : 716,808 = 716,808 : x
  2. Step 2: Convert to fraction form
    327,624/716,808 = 716,808/x
  3. Step 3: Cross multiply
    327,624x = 716,808 × 716,808
  4. Step 4: Simplify right side
    327,624x = 513,813,708,864
  5. Step 5: Solve for x
    x = 513,813,708,864/327,624
  6. Step 6: Final answer
    x = 1,568,303.02

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Why These Related Problems?

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