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Finding the Third Proportional to 524,137.50 and 1,123,065

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Solution

The third proportional to 524,137.50 and 1,123,065 is: 2,406,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,137.50 : 1,123,065 = 1,123,065 : x
  2. Step 2: Convert to fraction form
    524,137.50/1,123,065 = 1,123,065/x
  3. Step 3: Cross multiply
    524,137.50x = 1,123,065 × 1,123,065
  4. Step 4: Simplify right side
    524,137.50x = 1,261,274,994,225
  5. Step 5: Solve for x
    x = 1,261,274,994,225/524,137.50
  6. Step 6: Final answer
    x = 2,406,381.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.