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Finding the Third Proportional to 507,862 and 674,176

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Solution

The third proportional to 507,862 and 674,176 is: 894,954.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,862 : 674,176 = 674,176 : x
  2. Step 2: Convert to fraction form
    507,862/674,176 = 674,176/x
  3. Step 3: Cross multiply
    507,862x = 674,176 × 674,176
  4. Step 4: Simplify right side
    507,862x = 454,513,278,976
  5. Step 5: Solve for x
    x = 454,513,278,976/507,862
  6. Step 6: Final answer
    x = 894,954.30

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.