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Finding the Third Proportional to 602,133.75 and 825,657.75

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Solution

The third proportional to 602,133.75 and 825,657.75 is: 1,132,158.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,133.75 : 825,657.75 = 825,657.75 : x
  2. Step 2: Convert to fraction form
    602,133.75/825,657.75 = 825,657.75/x
  3. Step 3: Cross multiply
    602,133.75x = 825,657.75 × 825,657.75
  4. Step 4: Simplify right side
    602,133.75x = 681,710,720,135.06
  5. Step 5: Solve for x
    x = 681,710,720,135.06/602,133.75
  6. Step 6: Final answer
    x = 1,132,158.30

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