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Finding the Third Proportional to 326,144 and 498,943

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Solution

The third proportional to 326,144 and 498,943 is: 763,295.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,144 : 498,943 = 498,943 : x
  2. Step 2: Convert to fraction form
    326,144/498,943 = 498,943/x
  3. Step 3: Cross multiply
    326,144x = 498,943 × 498,943
  4. Step 4: Simplify right side
    326,144x = 248,944,117,249
  5. Step 5: Solve for x
    x = 248,944,117,249/326,144
  6. Step 6: Final answer
    x = 763,295.10

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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.