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Finding the Third Proportional to 503,743.50 and 780,014.25

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Solution

The third proportional to 503,743.50 and 780,014.25 is: 1,207,801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,743.50 : 780,014.25 = 780,014.25 : x
  2. Step 2: Convert to fraction form
    503,743.50/780,014.25 = 780,014.25/x
  3. Step 3: Cross multiply
    503,743.50x = 780,014.25 × 780,014.25
  4. Step 4: Simplify right side
    503,743.50x = 608,422,230,203.06
  5. Step 5: Solve for x
    x = 608,422,230,203.06/503,743.50
  6. Step 6: Final answer
    x = 1,207,801.65

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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.