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Finding the Third Proportional to 503,448.75 and 777,741.75

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Solution

The third proportional to 503,448.75 and 777,741.75 is: 1,201,477.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,448.75 : 777,741.75 = 777,741.75 : x
  2. Step 2: Convert to fraction form
    503,448.75/777,741.75 = 777,741.75/x
  3. Step 3: Cross multiply
    503,448.75x = 777,741.75 × 777,741.75
  4. Step 4: Simplify right side
    503,448.75x = 604,882,229,693.06
  5. Step 5: Solve for x
    x = 604,882,229,693.06/503,448.75
  6. Step 6: Final answer
    x = 1,201,477.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.