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Finding the Third Proportional to 503,050.50 and 738,537.75

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Solution

The third proportional to 503,050.50 and 738,537.75 is: 1,084,260.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,050.50 : 738,537.75 = 738,537.75 : x
  2. Step 2: Convert to fraction form
    503,050.50/738,537.75 = 738,537.75/x
  3. Step 3: Cross multiply
    503,050.50x = 738,537.75 × 738,537.75
  4. Step 4: Simplify right side
    503,050.50x = 545,438,008,175.06
  5. Step 5: Solve for x
    x = 545,438,008,175.06/503,050.50
  6. Step 6: Final answer
    x = 1,084,260.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.