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Finding the Third Proportional to 328,386 and 491,850

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Solution

The third proportional to 328,386 and 491,850 is: 736,683.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,386 : 491,850 = 491,850 : x
  2. Step 2: Convert to fraction form
    328,386/491,850 = 491,850/x
  3. Step 3: Cross multiply
    328,386x = 491,850 × 491,850
  4. Step 4: Simplify right side
    328,386x = 241,916,422,500
  5. Step 5: Solve for x
    x = 241,916,422,500/328,386
  6. Step 6: Final answer
    x = 736,683.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.