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Finding the Third Proportional to 244,924 and 371,077

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Solution

The third proportional to 244,924 and 371,077 is: 562,207.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,924 : 371,077 = 371,077 : x
  2. Step 2: Convert to fraction form
    244,924/371,077 = 371,077/x
  3. Step 3: Cross multiply
    244,924x = 371,077 × 371,077
  4. Step 4: Simplify right side
    244,924x = 137,698,139,929
  5. Step 5: Solve for x
    x = 137,698,139,929/244,924
  6. Step 6: Final answer
    x = 562,207.62

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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.