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Finding the Third Proportional to 325,539 and 497,691

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Solution

The third proportional to 325,539 and 497,691 is: 760,880.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,539 : 497,691 = 497,691 : x
  2. Step 2: Convert to fraction form
    325,539/497,691 = 497,691/x
  3. Step 3: Cross multiply
    325,539x = 497,691 × 497,691
  4. Step 4: Simplify right side
    325,539x = 247,696,331,481
  5. Step 5: Solve for x
    x = 247,696,331,481/325,539
  6. Step 6: Final answer
    x = 760,880.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.