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Finding the Third Proportional to 233,660 and 510,562

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Solution

The third proportional to 233,660 and 510,562 is: 1,115,610.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,660 : 510,562 = 510,562 : x
  2. Step 2: Convert to fraction form
    233,660/510,562 = 510,562/x
  3. Step 3: Cross multiply
    233,660x = 510,562 × 510,562
  4. Step 4: Simplify right side
    233,660x = 260,673,555,844
  5. Step 5: Solve for x
    x = 260,673,555,844/233,660
  6. Step 6: Final answer
    x = 1,115,610.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.