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Finding the Third Proportional to 277,202.25 and 583,382.25

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Solution

The third proportional to 277,202.25 and 583,382.25 is: 1,227,749.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,202.25 : 583,382.25 = 583,382.25 : x
  2. Step 2: Convert to fraction form
    277,202.25/583,382.25 = 583,382.25/x
  3. Step 3: Cross multiply
    277,202.25x = 583,382.25 × 583,382.25
  4. Step 4: Simplify right side
    277,202.25x = 340,334,849,615.06
  5. Step 5: Solve for x
    x = 340,334,849,615.06/277,202.25
  6. Step 6: Final answer
    x = 1,227,749.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.