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Finding the Third Proportional to 395,303 and 869,332

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Solution

The third proportional to 395,303 and 869,332 is: 1,911,794.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,303 : 869,332 = 869,332 : x
  2. Step 2: Convert to fraction form
    395,303/869,332 = 869,332/x
  3. Step 3: Cross multiply
    395,303x = 869,332 × 869,332
  4. Step 4: Simplify right side
    395,303x = 755,738,126,224
  5. Step 5: Solve for x
    x = 755,738,126,224/395,303
  6. Step 6: Final answer
    x = 1,911,794.56

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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.