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Finding the Third Proportional to 233,460 and 527,544

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Solution

The third proportional to 233,460 and 527,544 is: 1,192,078.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,460 : 527,544 = 527,544 : x
  2. Step 2: Convert to fraction form
    233,460/527,544 = 527,544/x
  3. Step 3: Cross multiply
    233,460x = 527,544 × 527,544
  4. Step 4: Simplify right side
    233,460x = 278,302,671,936
  5. Step 5: Solve for x
    x = 278,302,671,936/233,460
  6. Step 6: Final answer
    x = 1,192,078.61

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.