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Finding the Third Proportional to 233,653.50 and 500,841

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Solution

The third proportional to 233,653.50 and 500,841 is: 1,073,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,653.50 : 500,841 = 500,841 : x
  2. Step 2: Convert to fraction form
    233,653.50/500,841 = 500,841/x
  3. Step 3: Cross multiply
    233,653.50x = 500,841 × 500,841
  4. Step 4: Simplify right side
    233,653.50x = 250,841,707,281
  5. Step 5: Solve for x
    x = 250,841,707,281/233,653.50
  6. Step 6: Final answer
    x = 1,073,562.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.