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Finding the Third Proportional to 422,259.75 and 654,386.25

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Solution

The third proportional to 422,259.75 and 654,386.25 is: 1,014,118.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,259.75 : 654,386.25 = 654,386.25 : x
  2. Step 2: Convert to fraction form
    422,259.75/654,386.25 = 654,386.25/x
  3. Step 3: Cross multiply
    422,259.75x = 654,386.25 × 654,386.25
  4. Step 4: Simplify right side
    422,259.75x = 428,221,364,189.06
  5. Step 5: Solve for x
    x = 428,221,364,189.06/422,259.75
  6. Step 6: Final answer
    x = 1,014,118.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.