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Finding the Third Proportional to 602,066 and 825,597.75

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Solution

The third proportional to 602,066 and 825,597.75 is: 1,132,121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,066 : 825,597.75 = 825,597.75 : x
  2. Step 2: Convert to fraction form
    602,066/825,597.75 = 825,597.75/x
  3. Step 3: Cross multiply
    602,066x = 825,597.75 × 825,597.75
  4. Step 4: Simplify right side
    602,066x = 681,611,644,805.06
  5. Step 5: Solve for x
    x = 681,611,644,805.06/602,066
  6. Step 6: Final answer
    x = 1,132,121.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.