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Finding the Third Proportional to 382,084 and 783,320

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Solution

The third proportional to 382,084 and 783,320 is: 1,605,904.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,084 : 783,320 = 783,320 : x
  2. Step 2: Convert to fraction form
    382,084/783,320 = 783,320/x
  3. Step 3: Cross multiply
    382,084x = 783,320 × 783,320
  4. Step 4: Simplify right side
    382,084x = 613,590,222,400
  5. Step 5: Solve for x
    x = 613,590,222,400/382,084
  6. Step 6: Final answer
    x = 1,605,904.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.