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Finding the Third Proportional to 244,358 and 378,361

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Solution

The third proportional to 244,358 and 378,361 is: 585,849.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,358 : 378,361 = 378,361 : x
  2. Step 2: Convert to fraction form
    244,358/378,361 = 378,361/x
  3. Step 3: Cross multiply
    244,358x = 378,361 × 378,361
  4. Step 4: Simplify right side
    244,358x = 143,157,046,321
  5. Step 5: Solve for x
    x = 143,157,046,321/244,358
  6. Step 6: Final answer
    x = 585,849.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.