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Finding the Third Proportional to 501,230.25 and 718,269.75

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Solution

The third proportional to 501,230.25 and 718,269.75 is: 1,029,290.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,230.25 : 718,269.75 = 718,269.75 : x
  2. Step 2: Convert to fraction form
    501,230.25/718,269.75 = 718,269.75/x
  3. Step 3: Cross multiply
    501,230.25x = 718,269.75 × 718,269.75
  4. Step 4: Simplify right side
    501,230.25x = 515,911,433,765.06
  5. Step 5: Solve for x
    x = 515,911,433,765.06/501,230.25
  6. Step 6: Final answer
    x = 1,029,290.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.