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Finding the Third Proportional to 508,428 and 674,676

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Solution

The third proportional to 508,428 and 674,676 is: 895,284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,428 : 674,676 = 674,676 : x
  2. Step 2: Convert to fraction form
    508,428/674,676 = 674,676/x
  3. Step 3: Cross multiply
    508,428x = 674,676 × 674,676
  4. Step 4: Simplify right side
    508,428x = 455,187,704,976
  5. Step 5: Solve for x
    x = 455,187,704,976/508,428
  6. Step 6: Final answer
    x = 895,284.49

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