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Finding the Third Proportional to 385,082 and 844,564

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Solution

The third proportional to 385,082 and 844,564 is: 1,852,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,082 : 844,564 = 844,564 : x
  2. Step 2: Convert to fraction form
    385,082/844,564 = 844,564/x
  3. Step 3: Cross multiply
    385,082x = 844,564 × 844,564
  4. Step 4: Simplify right side
    385,082x = 713,288,350,096
  5. Step 5: Solve for x
    x = 713,288,350,096/385,082
  6. Step 6: Final answer
    x = 1,852,302.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.