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Finding the Third Proportional to 315,371 and 476,337

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Solution

The third proportional to 315,371 and 476,337 is: 719,460.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,371 : 476,337 = 476,337 : x
  2. Step 2: Convert to fraction form
    315,371/476,337 = 476,337/x
  3. Step 3: Cross multiply
    315,371x = 476,337 × 476,337
  4. Step 4: Simplify right side
    315,371x = 226,896,937,569
  5. Step 5: Solve for x
    x = 226,896,937,569/315,371
  6. Step 6: Final answer
    x = 719,460.37

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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.