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Finding the Third Proportional to 264,604 and 399,364

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Solution

The third proportional to 264,604 and 399,364 is: 602,755.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,604 : 399,364 = 399,364 : x
  2. Step 2: Convert to fraction form
    264,604/399,364 = 399,364/x
  3. Step 3: Cross multiply
    264,604x = 399,364 × 399,364
  4. Step 4: Simplify right side
    264,604x = 159,491,604,496
  5. Step 5: Solve for x
    x = 159,491,604,496/264,604
  6. Step 6: Final answer
    x = 602,755.83

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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.