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Finding the Third Proportional to 275,096.50 and 602,681

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Solution

The third proportional to 275,096.50 and 602,681 is: 1,320,352.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,096.50 : 602,681 = 602,681 : x
  2. Step 2: Convert to fraction form
    275,096.50/602,681 = 602,681/x
  3. Step 3: Cross multiply
    275,096.50x = 602,681 × 602,681
  4. Step 4: Simplify right side
    275,096.50x = 363,224,387,761
  5. Step 5: Solve for x
    x = 363,224,387,761/275,096.50
  6. Step 6: Final answer
    x = 1,320,352.63

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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.