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Finding the Third Proportional to 585,164.25 and 1,257,626.25

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Solution

The third proportional to 585,164.25 and 1,257,626.25 is: 2,702,871.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,164.25 : 1,257,626.25 = 1,257,626.25 : x
  2. Step 2: Convert to fraction form
    585,164.25/1,257,626.25 = 1,257,626.25/x
  3. Step 3: Cross multiply
    585,164.25x = 1,257,626.25 × 1,257,626.25
  4. Step 4: Simplify right side
    585,164.25x = 1,581,623,784,689.06
  5. Step 5: Solve for x
    x = 1,581,623,784,689.06/585,164.25
  6. Step 6: Final answer
    x = 2,702,871.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.