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Finding the Third Proportional to 326,363 and 498,924

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Solution

The third proportional to 326,363 and 498,924 is: 762,724.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,363 : 498,924 = 498,924 : x
  2. Step 2: Convert to fraction form
    326,363/498,924 = 498,924/x
  3. Step 3: Cross multiply
    326,363x = 498,924 × 498,924
  4. Step 4: Simplify right side
    326,363x = 248,925,157,776
  5. Step 5: Solve for x
    x = 248,925,157,776/326,363
  6. Step 6: Final answer
    x = 762,724.81

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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.