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Finding the Third Proportional to 275,130 and 602,748

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Solution

The third proportional to 275,130 and 602,748 is: 1,320,485.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,130 : 602,748 = 602,748 : x
  2. Step 2: Convert to fraction form
    275,130/602,748 = 602,748/x
  3. Step 3: Cross multiply
    275,130x = 602,748 × 602,748
  4. Step 4: Simplify right side
    275,130x = 363,305,151,504
  5. Step 5: Solve for x
    x = 363,305,151,504/275,130
  6. Step 6: Final answer
    x = 1,320,485.41

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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.