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Finding the Third Proportional to 395,320 and 869,362

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Solution

The third proportional to 395,320 and 869,362 is: 1,911,844.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,320 : 869,362 = 869,362 : x
  2. Step 2: Convert to fraction form
    395,320/869,362 = 869,362/x
  3. Step 3: Cross multiply
    395,320x = 869,362 × 869,362
  4. Step 4: Simplify right side
    395,320x = 755,790,287,044
  5. Step 5: Solve for x
    x = 755,790,287,044/395,320
  6. Step 6: Final answer
    x = 1,911,844.30

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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.