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Finding the Third Proportional to 374,248 and 804,534

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Solution

The third proportional to 374,248 and 804,534 is: 1,729,534.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,248 : 804,534 = 804,534 : x
  2. Step 2: Convert to fraction form
    374,248/804,534 = 804,534/x
  3. Step 3: Cross multiply
    374,248x = 804,534 × 804,534
  4. Step 4: Simplify right side
    374,248x = 647,274,957,156
  5. Step 5: Solve for x
    x = 647,274,957,156/374,248
  6. Step 6: Final answer
    x = 1,729,534.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.