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Finding the Third Proportional to 448,188 and 964,344

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Solution

The third proportional to 448,188 and 964,344 is: 2,074,931.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,188 : 964,344 = 964,344 : x
  2. Step 2: Convert to fraction form
    448,188/964,344 = 964,344/x
  3. Step 3: Cross multiply
    448,188x = 964,344 × 964,344
  4. Step 4: Simplify right side
    448,188x = 929,959,350,336
  5. Step 5: Solve for x
    x = 929,959,350,336/448,188
  6. Step 6: Final answer
    x = 2,074,931.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.