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Finding the Third Proportional to 425,758.78 and 503,518.78

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Solution

The third proportional to 425,758.78 and 503,518.78 is: 595,480.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,758.78 : 503,518.78 = 503,518.78 : x
  2. Step 2: Convert to fraction form
    425,758.78/503,518.78 = 503,518.78/x
  3. Step 3: Cross multiply
    425,758.78x = 503,518.78 × 503,518.78
  4. Step 4: Simplify right side
    425,758.78x = 253,531,163,071.49
  5. Step 5: Solve for x
    x = 253,531,163,071.49/425,758.78
  6. Step 6: Final answer
    x = 595,480.76

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.