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Finding the Third Proportional to 242,599 and 526,431

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Solution

The third proportional to 242,599 and 526,431 is: 1,142,336.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,599 : 526,431 = 526,431 : x
  2. Step 2: Convert to fraction form
    242,599/526,431 = 526,431/x
  3. Step 3: Cross multiply
    242,599x = 526,431 × 526,431
  4. Step 4: Simplify right side
    242,599x = 277,129,597,761
  5. Step 5: Solve for x
    x = 277,129,597,761/242,599
  6. Step 6: Final answer
    x = 1,142,336.11

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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.