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Finding the Third Proportional to 242,464.50 and 526,401

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Solution

The third proportional to 242,464.50 and 526,401 is: 1,142,839.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,464.50 : 526,401 = 526,401 : x
  2. Step 2: Convert to fraction form
    242,464.50/526,401 = 526,401/x
  3. Step 3: Cross multiply
    242,464.50x = 526,401 × 526,401
  4. Step 4: Simplify right side
    242,464.50x = 277,098,012,801
  5. Step 5: Solve for x
    x = 277,098,012,801/242,464.50
  6. Step 6: Final answer
    x = 1,142,839.52

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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.