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Finding the Third Proportional to 295,932 and 662,136

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Solution

The third proportional to 295,932 and 662,136 is: 1,481,502.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,932 : 662,136 = 662,136 : x
  2. Step 2: Convert to fraction form
    295,932/662,136 = 662,136/x
  3. Step 3: Cross multiply
    295,932x = 662,136 × 662,136
  4. Step 4: Simplify right side
    295,932x = 438,424,082,496
  5. Step 5: Solve for x
    x = 438,424,082,496/295,932
  6. Step 6: Final answer
    x = 1,481,502.79

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.