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Finding the Third Proportional to 252,752 and 534,496

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Solution

The third proportional to 252,752 and 534,496 is: 1,130,301.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,752 : 534,496 = 534,496 : x
  2. Step 2: Convert to fraction form
    252,752/534,496 = 534,496/x
  3. Step 3: Cross multiply
    252,752x = 534,496 × 534,496
  4. Step 4: Simplify right side
    252,752x = 285,685,974,016
  5. Step 5: Solve for x
    x = 285,685,974,016/252,752
  6. Step 6: Final answer
    x = 1,130,301.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.