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Finding the Third Proportional to 368,394 and 550,313

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Solution

The third proportional to 368,394 and 550,313 is: 822,066.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,394 : 550,313 = 550,313 : x
  2. Step 2: Convert to fraction form
    368,394/550,313 = 550,313/x
  3. Step 3: Cross multiply
    368,394x = 550,313 × 550,313
  4. Step 4: Simplify right side
    368,394x = 302,844,397,969
  5. Step 5: Solve for x
    x = 302,844,397,969/368,394
  6. Step 6: Final answer
    x = 822,066.59

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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.