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Finding the Third Proportional to 342,720 and 527,136

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Solution

The third proportional to 342,720 and 527,136 is: 810,785.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,720 : 527,136 = 527,136 : x
  2. Step 2: Convert to fraction form
    342,720/527,136 = 527,136/x
  3. Step 3: Cross multiply
    342,720x = 527,136 × 527,136
  4. Step 4: Simplify right side
    342,720x = 277,872,362,496
  5. Step 5: Solve for x
    x = 277,872,362,496/342,720
  6. Step 6: Final answer
    x = 810,785.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.