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Finding the Third Proportional to 326,230 and 716,612

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Solution

The third proportional to 326,230 and 716,612 is: 1,574,143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,230 : 716,612 = 716,612 : x
  2. Step 2: Convert to fraction form
    326,230/716,612 = 716,612/x
  3. Step 3: Cross multiply
    326,230x = 716,612 × 716,612
  4. Step 4: Simplify right side
    326,230x = 513,532,758,544
  5. Step 5: Solve for x
    x = 513,532,758,544/326,230
  6. Step 6: Final answer
    x = 1,574,143.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.