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Finding the Third Proportional to 619,870.50 and 948,165.75

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Solution

The third proportional to 619,870.50 and 948,165.75 is: 1,450,332.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,870.50 : 948,165.75 = 948,165.75 : x
  2. Step 2: Convert to fraction form
    619,870.50/948,165.75 = 948,165.75/x
  3. Step 3: Cross multiply
    619,870.50x = 948,165.75 × 948,165.75
  4. Step 4: Simplify right side
    619,870.50x = 899,018,289,473.06
  5. Step 5: Solve for x
    x = 899,018,289,473.06/619,870.50
  6. Step 6: Final answer
    x = 1,450,332.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.