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Finding the Third Proportional to 235,947 and 513,360

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Solution

The third proportional to 235,947 and 513,360 is: 1,116,939.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,947 : 513,360 = 513,360 : x
  2. Step 2: Convert to fraction form
    235,947/513,360 = 513,360/x
  3. Step 3: Cross multiply
    235,947x = 513,360 × 513,360
  4. Step 4: Simplify right side
    235,947x = 263,538,489,600
  5. Step 5: Solve for x
    x = 263,538,489,600/235,947
  6. Step 6: Final answer
    x = 1,116,939.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.