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Finding the Third Proportional to 445,833.75 and 964,384.88

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Solution

The third proportional to 445,833.75 and 964,384.88 is: 2,086,065.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,833.75 : 964,384.88 = 964,384.88 : x
  2. Step 2: Convert to fraction form
    445,833.75/964,384.88 = 964,384.88/x
  3. Step 3: Cross multiply
    445,833.75x = 964,384.88 × 964,384.88
  4. Step 4: Simplify right side
    445,833.75x = 930,038,187,128.77
  5. Step 5: Solve for x
    x = 930,038,187,128.77/445,833.75
  6. Step 6: Final answer
    x = 2,086,065.01

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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.