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Finding the Third Proportional to 275,097 and 602,679

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Solution

The third proportional to 275,097 and 602,679 is: 1,320,341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,097 : 602,679 = 602,679 : x
  2. Step 2: Convert to fraction form
    275,097/602,679 = 602,679/x
  3. Step 3: Cross multiply
    275,097x = 602,679 × 602,679
  4. Step 4: Simplify right side
    275,097x = 363,221,977,041
  5. Step 5: Solve for x
    x = 363,221,977,041/275,097
  6. Step 6: Final answer
    x = 1,320,341.47

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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.