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Finding the Third Proportional to 275,361 and 602,562

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Solution

The third proportional to 275,361 and 602,562 is: 1,318,563.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,361 : 602,562 = 602,562 : x
  2. Step 2: Convert to fraction form
    275,361/602,562 = 602,562/x
  3. Step 3: Cross multiply
    275,361x = 602,562 × 602,562
  4. Step 4: Simplify right side
    275,361x = 363,080,963,844
  5. Step 5: Solve for x
    x = 363,080,963,844/275,361
  6. Step 6: Final answer
    x = 1,318,563.50

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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.