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Finding the Third Proportional to 385,566 and 829,084

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Solution

The third proportional to 385,566 and 829,084 is: 1,782,782.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,566 : 829,084 = 829,084 : x
  2. Step 2: Convert to fraction form
    385,566/829,084 = 829,084/x
  3. Step 3: Cross multiply
    385,566x = 829,084 × 829,084
  4. Step 4: Simplify right side
    385,566x = 687,380,279,056
  5. Step 5: Solve for x
    x = 687,380,279,056/385,566
  6. Step 6: Final answer
    x = 1,782,782.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.