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Finding the Third Proportional to 210,522 and 323,571

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Solution

The third proportional to 210,522 and 323,571 is: 497,326.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,522 : 323,571 = 323,571 : x
  2. Step 2: Convert to fraction form
    210,522/323,571 = 323,571/x
  3. Step 3: Cross multiply
    210,522x = 323,571 × 323,571
  4. Step 4: Simplify right side
    210,522x = 104,698,192,041
  5. Step 5: Solve for x
    x = 104,698,192,041/210,522
  6. Step 6: Final answer
    x = 497,326.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.