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Finding the Third Proportional to 233,562 and 513,780

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Solution

The third proportional to 233,562 and 513,780 is: 1,130,191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,562 : 513,780 = 513,780 : x
  2. Step 2: Convert to fraction form
    233,562/513,780 = 513,780/x
  3. Step 3: Cross multiply
    233,562x = 513,780 × 513,780
  4. Step 4: Simplify right side
    233,562x = 263,969,888,400
  5. Step 5: Solve for x
    x = 263,969,888,400/233,562
  6. Step 6: Final answer
    x = 1,130,191.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.