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Finding the Third Proportional to 250,243 and 377,524.50

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Solution

The third proportional to 250,243 and 377,524.50 is: 569,545.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,243 : 377,524.50 = 377,524.50 : x
  2. Step 2: Convert to fraction form
    250,243/377,524.50 = 377,524.50/x
  3. Step 3: Cross multiply
    250,243x = 377,524.50 × 377,524.50
  4. Step 4: Simplify right side
    250,243x = 142,524,748,100.25
  5. Step 5: Solve for x
    x = 142,524,748,100.25/250,243
  6. Step 6: Final answer
    x = 569,545.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.