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Finding the Third Proportional to 264,546 and 399,203

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Solution

The third proportional to 264,546 and 399,203 is: 602,401.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,546 : 399,203 = 399,203 : x
  2. Step 2: Convert to fraction form
    264,546/399,203 = 399,203/x
  3. Step 3: Cross multiply
    264,546x = 399,203 × 399,203
  4. Step 4: Simplify right side
    264,546x = 159,363,035,209
  5. Step 5: Solve for x
    x = 159,363,035,209/264,546
  6. Step 6: Final answer
    x = 602,401.98

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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.