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Finding the Third Proportional to 355,720 and 542,616

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Solution

The third proportional to 355,720 and 542,616 is: 827,707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,720 : 542,616 = 542,616 : x
  2. Step 2: Convert to fraction form
    355,720/542,616 = 542,616/x
  3. Step 3: Cross multiply
    355,720x = 542,616 × 542,616
  4. Step 4: Simplify right side
    355,720x = 294,432,123,456
  5. Step 5: Solve for x
    x = 294,432,123,456/355,720
  6. Step 6: Final answer
    x = 827,707.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.