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Finding the Third Proportional to 264,593 and 399,347

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Solution

The third proportional to 264,593 and 399,347 is: 602,729.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,593 : 399,347 = 399,347 : x
  2. Step 2: Convert to fraction form
    264,593/399,347 = 399,347/x
  3. Step 3: Cross multiply
    264,593x = 399,347 × 399,347
  4. Step 4: Simplify right side
    264,593x = 159,478,026,409
  5. Step 5: Solve for x
    x = 159,478,026,409/264,593
  6. Step 6: Final answer
    x = 602,729.57

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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.