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Finding the Third Proportional to 364,384 and 800,507

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Solution

The third proportional to 364,384 and 800,507 is: 1,758,615.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,384 : 800,507 = 800,507 : x
  2. Step 2: Convert to fraction form
    364,384/800,507 = 800,507/x
  3. Step 3: Cross multiply
    364,384x = 800,507 × 800,507
  4. Step 4: Simplify right side
    364,384x = 640,811,457,049
  5. Step 5: Solve for x
    x = 640,811,457,049/364,384
  6. Step 6: Final answer
    x = 1,758,615.79

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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.