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Finding the Third Proportional to 275,360 and 602,560

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Solution

The third proportional to 275,360 and 602,560 is: 1,318,559.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,360 : 602,560 = 602,560 : x
  2. Step 2: Convert to fraction form
    275,360/602,560 = 602,560/x
  3. Step 3: Cross multiply
    275,360x = 602,560 × 602,560
  4. Step 4: Simplify right side
    275,360x = 363,078,553,600
  5. Step 5: Solve for x
    x = 363,078,553,600/275,360
  6. Step 6: Final answer
    x = 1,318,559.54

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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.