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Finding the Third Proportional to 320,704.13 and 692,256

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Solution

The third proportional to 320,704.13 and 692,256 is: 1,494,269.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,704.13 : 692,256 = 692,256 : x
  2. Step 2: Convert to fraction form
    320,704.13/692,256 = 692,256/x
  3. Step 3: Cross multiply
    320,704.13x = 692,256 × 692,256
  4. Step 4: Simplify right side
    320,704.13x = 479,218,369,536
  5. Step 5: Solve for x
    x = 479,218,369,536/320,704.13
  6. Step 6: Final answer
    x = 1,494,269.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.