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Finding the Third Proportional to 445,617 and 962,257.50

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Solution

The third proportional to 445,617 and 962,257.50 is: 2,077,881.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,617 : 962,257.50 = 962,257.50 : x
  2. Step 2: Convert to fraction form
    445,617/962,257.50 = 962,257.50/x
  3. Step 3: Cross multiply
    445,617x = 962,257.50 × 962,257.50
  4. Step 4: Simplify right side
    445,617x = 925,939,496,306.25
  5. Step 5: Solve for x
    x = 925,939,496,306.25/445,617
  6. Step 6: Final answer
    x = 2,077,881.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.