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Finding the Third Proportional to 368,417 and 550,344

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Solution

The third proportional to 368,417 and 550,344 is: 822,107.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,417 : 550,344 = 550,344 : x
  2. Step 2: Convert to fraction form
    368,417/550,344 = 550,344/x
  3. Step 3: Cross multiply
    368,417x = 550,344 × 550,344
  4. Step 4: Simplify right side
    368,417x = 302,878,518,336
  5. Step 5: Solve for x
    x = 302,878,518,336/368,417
  6. Step 6: Final answer
    x = 822,107.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.