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Finding the Third Proportional to 366,866 and 526,947

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Solution

The third proportional to 366,866 and 526,947 is: 756,878.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,866 : 526,947 = 526,947 : x
  2. Step 2: Convert to fraction form
    366,866/526,947 = 526,947/x
  3. Step 3: Cross multiply
    366,866x = 526,947 × 526,947
  4. Step 4: Simplify right side
    366,866x = 277,673,140,809
  5. Step 5: Solve for x
    x = 277,673,140,809/366,866
  6. Step 6: Final answer
    x = 756,878.92

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.