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Finding the Third Proportional to 248,959 and 377,201

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Solution

The third proportional to 248,959 and 377,201 is: 571,502.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,959 : 377,201 = 377,201 : x
  2. Step 2: Convert to fraction form
    248,959/377,201 = 377,201/x
  3. Step 3: Cross multiply
    248,959x = 377,201 × 377,201
  4. Step 4: Simplify right side
    248,959x = 142,280,594,401
  5. Step 5: Solve for x
    x = 142,280,594,401/248,959
  6. Step 6: Final answer
    x = 571,502.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.