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Finding the Third Proportional to 264,834 and 399,726

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Solution

The third proportional to 264,834 and 399,726 is: 603,324.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,834 : 399,726 = 399,726 : x
  2. Step 2: Convert to fraction form
    264,834/399,726 = 399,726/x
  3. Step 3: Cross multiply
    264,834x = 399,726 × 399,726
  4. Step 4: Simplify right side
    264,834x = 159,780,875,076
  5. Step 5: Solve for x
    x = 159,780,875,076/264,834
  6. Step 6: Final answer
    x = 603,324.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.