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Finding the Third Proportional to 602,501.25 and 880,662.75

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Solution

The third proportional to 602,501.25 and 880,662.75 is: 1,287,245.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,501.25 : 880,662.75 = 880,662.75 : x
  2. Step 2: Convert to fraction form
    602,501.25/880,662.75 = 880,662.75/x
  3. Step 3: Cross multiply
    602,501.25x = 880,662.75 × 880,662.75
  4. Step 4: Simplify right side
    602,501.25x = 775,566,879,237.56
  5. Step 5: Solve for x
    x = 775,566,879,237.56/602,501.25
  6. Step 6: Final answer
    x = 1,287,245.26

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.