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Finding the Third Proportional to 325,746 and 498,306

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Solution

The third proportional to 325,746 and 498,306 is: 762,277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,746 : 498,306 = 498,306 : x
  2. Step 2: Convert to fraction form
    325,746/498,306 = 498,306/x
  3. Step 3: Cross multiply
    325,746x = 498,306 × 498,306
  4. Step 4: Simplify right side
    325,746x = 248,308,869,636
  5. Step 5: Solve for x
    x = 248,308,869,636/325,746
  6. Step 6: Final answer
    x = 762,277.57

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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.