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Finding the Third Proportional to 447,384.75 and 946,586.63

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Solution

The third proportional to 447,384.75 and 946,586.63 is: 2,002,809.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,384.75 : 946,586.63 = 946,586.63 : x
  2. Step 2: Convert to fraction form
    447,384.75/946,586.63 = 946,586.63/x
  3. Step 3: Cross multiply
    447,384.75x = 946,586.63 × 946,586.63
  4. Step 4: Simplify right side
    447,384.75x = 896,026,238,628.89
  5. Step 5: Solve for x
    x = 896,026,238,628.89/447,384.75
  6. Step 6: Final answer
    x = 2,002,809.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.