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Finding the Third Proportional to 326,972 and 498,934

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Solution

The third proportional to 326,972 and 498,934 is: 761,334.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,972 : 498,934 = 498,934 : x
  2. Step 2: Convert to fraction form
    326,972/498,934 = 498,934/x
  3. Step 3: Cross multiply
    326,972x = 498,934 × 498,934
  4. Step 4: Simplify right side
    326,972x = 248,935,136,356
  5. Step 5: Solve for x
    x = 248,935,136,356/326,972
  6. Step 6: Final answer
    x = 761,334.72

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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.