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Finding the Third Proportional to 400,253.50 and 619,084

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Solution

The third proportional to 400,253.50 and 619,084 is: 957,555.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,253.50 : 619,084 = 619,084 : x
  2. Step 2: Convert to fraction form
    400,253.50/619,084 = 619,084/x
  3. Step 3: Cross multiply
    400,253.50x = 619,084 × 619,084
  4. Step 4: Simplify right side
    400,253.50x = 383,264,999,056
  5. Step 5: Solve for x
    x = 383,264,999,056/400,253.50
  6. Step 6: Final answer
    x = 957,555.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.