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Finding the Third Proportional to 503,655.75 and 698,064.75

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Solution

The third proportional to 503,655.75 and 698,064.75 is: 967,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,655.75 : 698,064.75 = 698,064.75 : x
  2. Step 2: Convert to fraction form
    503,655.75/698,064.75 = 698,064.75/x
  3. Step 3: Cross multiply
    503,655.75x = 698,064.75 × 698,064.75
  4. Step 4: Simplify right side
    503,655.75x = 487,294,395,192.56
  5. Step 5: Solve for x
    x = 487,294,395,192.56/503,655.75
  6. Step 6: Final answer
    x = 967,514.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.