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Finding the Third Proportional to 315,252 and 433,503

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Solution

The third proportional to 315,252 and 433,503 is: 596,109.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,252 : 433,503 = 433,503 : x
  2. Step 2: Convert to fraction form
    315,252/433,503 = 433,503/x
  3. Step 3: Cross multiply
    315,252x = 433,503 × 433,503
  4. Step 4: Simplify right side
    315,252x = 187,924,851,009
  5. Step 5: Solve for x
    x = 187,924,851,009/315,252
  6. Step 6: Final answer
    x = 596,109.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.