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Finding the Third Proportional to 199,554 and 424,981.50

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Solution

The third proportional to 199,554 and 424,981.50 is: 905,064.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,554 : 424,981.50 = 424,981.50 : x
  2. Step 2: Convert to fraction form
    199,554/424,981.50 = 424,981.50/x
  3. Step 3: Cross multiply
    199,554x = 424,981.50 × 424,981.50
  4. Step 4: Simplify right side
    199,554x = 180,609,275,342.25
  5. Step 5: Solve for x
    x = 180,609,275,342.25/199,554
  6. Step 6: Final answer
    x = 905,064.67

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.