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Finding the Third Proportional to 496,081.13 and 788,430.38

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Solution

The third proportional to 496,081.13 and 788,430.38 is: 1,253,066.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,081.13 : 788,430.38 = 788,430.38 : x
  2. Step 2: Convert to fraction form
    496,081.13/788,430.38 = 788,430.38/x
  3. Step 3: Cross multiply
    496,081.13x = 788,430.38 × 788,430.38
  4. Step 4: Simplify right side
    496,081.13x = 621,622,456,222.64
  5. Step 5: Solve for x
    x = 621,622,456,222.64/496,081.13
  6. Step 6: Final answer
    x = 1,253,066.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.