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Finding the Third Proportional to 270,506.25 and 578,535.75

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Solution

The third proportional to 270,506.25 and 578,535.75 is: 1,237,323.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,506.25 : 578,535.75 = 578,535.75 : x
  2. Step 2: Convert to fraction form
    270,506.25/578,535.75 = 578,535.75/x
  3. Step 3: Cross multiply
    270,506.25x = 578,535.75 × 578,535.75
  4. Step 4: Simplify right side
    270,506.25x = 334,703,614,028.06
  5. Step 5: Solve for x
    x = 334,703,614,028.06/270,506.25
  6. Step 6: Final answer
    x = 1,237,323.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.