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Finding the Third Proportional to 242,436 and 528,932

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Solution

The third proportional to 242,436 and 528,932 is: 1,153,991.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,436 : 528,932 = 528,932 : x
  2. Step 2: Convert to fraction form
    242,436/528,932 = 528,932/x
  3. Step 3: Cross multiply
    242,436x = 528,932 × 528,932
  4. Step 4: Simplify right side
    242,436x = 279,769,060,624
  5. Step 5: Solve for x
    x = 279,769,060,624/242,436
  6. Step 6: Final answer
    x = 1,153,991.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.