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Finding the Third Proportional to 331,996 and 712,372

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Solution

The third proportional to 331,996 and 712,372 is: 1,528,554.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,996 : 712,372 = 712,372 : x
  2. Step 2: Convert to fraction form
    331,996/712,372 = 712,372/x
  3. Step 3: Cross multiply
    331,996x = 712,372 × 712,372
  4. Step 4: Simplify right side
    331,996x = 507,473,866,384
  5. Step 5: Solve for x
    x = 507,473,866,384/331,996
  6. Step 6: Final answer
    x = 1,528,554.16

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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.