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Finding the Third Proportional to 244,947 and 359,031

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Solution

The third proportional to 244,947 and 359,031 is: 526,249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,947 : 359,031 = 359,031 : x
  2. Step 2: Convert to fraction form
    244,947/359,031 = 359,031/x
  3. Step 3: Cross multiply
    244,947x = 359,031 × 359,031
  4. Step 4: Simplify right side
    244,947x = 128,903,258,961
  5. Step 5: Solve for x
    x = 128,903,258,961/244,947
  6. Step 6: Final answer
    x = 526,249.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.