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Finding the Third Proportional to 242,493 and 526,962

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Solution

The third proportional to 242,493 and 526,962 is: 1,145,142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,493 : 526,962 = 526,962 : x
  2. Step 2: Convert to fraction form
    242,493/526,962 = 526,962/x
  3. Step 3: Cross multiply
    242,493x = 526,962 × 526,962
  4. Step 4: Simplify right side
    242,493x = 277,688,949,444
  5. Step 5: Solve for x
    x = 277,688,949,444/242,493
  6. Step 6: Final answer
    x = 1,145,142.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.