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Finding the Third Proportional to 400,380 and 879,510

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Solution

The third proportional to 400,380 and 879,510 is: 1,932,009.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,380 : 879,510 = 879,510 : x
  2. Step 2: Convert to fraction form
    400,380/879,510 = 879,510/x
  3. Step 3: Cross multiply
    400,380x = 879,510 × 879,510
  4. Step 4: Simplify right side
    400,380x = 773,537,840,100
  5. Step 5: Solve for x
    x = 773,537,840,100/400,380
  6. Step 6: Final answer
    x = 1,932,009.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.