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Finding the Third Proportional to 501,950.67 and 754,036.59

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Solution

The third proportional to 501,950.67 and 754,036.59 is: 1,132,723.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,950.67 : 754,036.59 = 754,036.59 : x
  2. Step 2: Convert to fraction form
    501,950.67/754,036.59 = 754,036.59/x
  3. Step 3: Cross multiply
    501,950.67x = 754,036.59 × 754,036.59
  4. Step 4: Simplify right side
    501,950.67x = 568,571,184,714.10
  5. Step 5: Solve for x
    x = 568,571,184,714.10/501,950.67
  6. Step 6: Final answer
    x = 1,132,723.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.