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Finding the Third Proportional to 274,114.13 and 597,881.25

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Solution

The third proportional to 274,114.13 and 597,881.25 is: 1,304,062.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,114.13 : 597,881.25 = 597,881.25 : x
  2. Step 2: Convert to fraction form
    274,114.13/597,881.25 = 597,881.25/x
  3. Step 3: Cross multiply
    274,114.13x = 597,881.25 × 597,881.25
  4. Step 4: Simplify right side
    274,114.13x = 357,461,989,101.56
  5. Step 5: Solve for x
    x = 357,461,989,101.56/274,114.13
  6. Step 6: Final answer
    x = 1,304,062.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.