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Finding the Third Proportional to 210,539 and 323,617

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Solution

The third proportional to 210,539 and 323,617 is: 497,427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,539 : 323,617 = 323,617 : x
  2. Step 2: Convert to fraction form
    210,539/323,617 = 323,617/x
  3. Step 3: Cross multiply
    210,539x = 323,617 × 323,617
  4. Step 4: Simplify right side
    210,539x = 104,727,962,689
  5. Step 5: Solve for x
    x = 104,727,962,689/210,539
  6. Step 6: Final answer
    x = 497,427.85

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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.