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Finding the Third Proportional to 326,214 and 716,580

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Solution

The third proportional to 326,214 and 716,580 is: 1,574,079.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,214 : 716,580 = 716,580 : x
  2. Step 2: Convert to fraction form
    326,214/716,580 = 716,580/x
  3. Step 3: Cross multiply
    326,214x = 716,580 × 716,580
  4. Step 4: Simplify right side
    326,214x = 513,486,896,400
  5. Step 5: Solve for x
    x = 513,486,896,400/326,214
  6. Step 6: Final answer
    x = 1,574,079.89

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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.