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Finding the Third Proportional to 262,137.50 and 573,337

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Solution

The third proportional to 262,137.50 and 573,337 is: 1,253,980.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,137.50 : 573,337 = 573,337 : x
  2. Step 2: Convert to fraction form
    262,137.50/573,337 = 573,337/x
  3. Step 3: Cross multiply
    262,137.50x = 573,337 × 573,337
  4. Step 4: Simplify right side
    262,137.50x = 328,715,315,569
  5. Step 5: Solve for x
    x = 328,715,315,569/262,137.50
  6. Step 6: Final answer
    x = 1,253,980.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.