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Finding the Third Proportional to 254,596 and 374,442

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Solution

The third proportional to 254,596 and 374,442 is: 550,703.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,596 : 374,442 = 374,442 : x
  2. Step 2: Convert to fraction form
    254,596/374,442 = 374,442/x
  3. Step 3: Cross multiply
    254,596x = 374,442 × 374,442
  4. Step 4: Simplify right side
    254,596x = 140,206,811,364
  5. Step 5: Solve for x
    x = 140,206,811,364/254,596
  6. Step 6: Final answer
    x = 550,703.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.