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Finding the Third Proportional to 223,323.75 and 486,010.13

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Solution

The third proportional to 223,323.75 and 486,010.13 is: 1,057,683.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,323.75 : 486,010.13 = 486,010.13 : x
  2. Step 2: Convert to fraction form
    223,323.75/486,010.13 = 486,010.13/x
  3. Step 3: Cross multiply
    223,323.75x = 486,010.13 × 486,010.13
  4. Step 4: Simplify right side
    223,323.75x = 236,205,841,602.52
  5. Step 5: Solve for x
    x = 236,205,841,602.52/223,323.75
  6. Step 6: Final answer
    x = 1,057,683.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.