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Finding the Third Proportional to 207,476 and 329,360

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Solution

The third proportional to 207,476 and 329,360 is: 522,846.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,476 : 329,360 = 329,360 : x
  2. Step 2: Convert to fraction form
    207,476/329,360 = 329,360/x
  3. Step 3: Cross multiply
    207,476x = 329,360 × 329,360
  4. Step 4: Simplify right side
    207,476x = 108,478,009,600
  5. Step 5: Solve for x
    x = 108,478,009,600/207,476
  6. Step 6: Final answer
    x = 522,846.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.