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Finding the Third Proportional to 264,627 and 399,402

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Solution

The third proportional to 264,627 and 399,402 is: 602,818.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,627 : 399,402 = 399,402 : x
  2. Step 2: Convert to fraction form
    264,627/399,402 = 399,402/x
  3. Step 3: Cross multiply
    264,627x = 399,402 × 399,402
  4. Step 4: Simplify right side
    264,627x = 159,521,957,604
  5. Step 5: Solve for x
    x = 159,521,957,604/264,627
  6. Step 6: Final answer
    x = 602,818.15

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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.