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Finding the Third Proportional to 602,061 and 825,590.25

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Solution

The third proportional to 602,061 and 825,590.25 is: 1,132,109.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,061 : 825,590.25 = 825,590.25 : x
  2. Step 2: Convert to fraction form
    602,061/825,590.25 = 825,590.25/x
  3. Step 3: Cross multiply
    602,061x = 825,590.25 × 825,590.25
  4. Step 4: Simplify right side
    602,061x = 681,599,260,895.06
  5. Step 5: Solve for x
    x = 681,599,260,895.06/602,061
  6. Step 6: Final answer
    x = 1,132,109.97

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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.