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Finding the Third Proportional to 315,369 and 476,334

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Solution

The third proportional to 315,369 and 476,334 is: 719,455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,369 : 476,334 = 476,334 : x
  2. Step 2: Convert to fraction form
    315,369/476,334 = 476,334/x
  3. Step 3: Cross multiply
    315,369x = 476,334 × 476,334
  4. Step 4: Simplify right side
    315,369x = 226,894,079,556
  5. Step 5: Solve for x
    x = 226,894,079,556/315,369
  6. Step 6: Final answer
    x = 719,455.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.