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Finding the Third Proportional to 242,467 and 526,405

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Solution

The third proportional to 242,467 and 526,405 is: 1,142,845.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,467 : 526,405 = 526,405 : x
  2. Step 2: Convert to fraction form
    242,467/526,405 = 526,405/x
  3. Step 3: Cross multiply
    242,467x = 526,405 × 526,405
  4. Step 4: Simplify right side
    242,467x = 277,102,224,025
  5. Step 5: Solve for x
    x = 277,102,224,025/242,467
  6. Step 6: Final answer
    x = 1,142,845.10

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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.