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Finding the Third Proportional to 507,859.88 and 674,173.13

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Solution

The third proportional to 507,859.88 and 674,173.13 is: 894,950.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,859.88 : 674,173.13 = 674,173.13 : x
  2. Step 2: Convert to fraction form
    507,859.88/674,173.13 = 674,173.13/x
  3. Step 3: Cross multiply
    507,859.88x = 674,173.13 × 674,173.13
  4. Step 4: Simplify right side
    507,859.88x = 454,509,402,472.27
  5. Step 5: Solve for x
    x = 454,509,402,472.27/507,859.88
  6. Step 6: Final answer
    x = 894,950.41

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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.