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Finding the Third Proportional to 326,220 and 716,592

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Solution

The third proportional to 326,220 and 716,592 is: 1,574,103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,220 : 716,592 = 716,592 : x
  2. Step 2: Convert to fraction form
    326,220/716,592 = 716,592/x
  3. Step 3: Cross multiply
    326,220x = 716,592 × 716,592
  4. Step 4: Simplify right side
    326,220x = 513,504,094,464
  5. Step 5: Solve for x
    x = 513,504,094,464/326,220
  6. Step 6: Final answer
    x = 1,574,103.66

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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.