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Finding the Third Proportional to 498,906 and 769,749.75

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Solution

The third proportional to 498,906 and 769,749.75 is: 1,187,627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,906 : 769,749.75 = 769,749.75 : x
  2. Step 2: Convert to fraction form
    498,906/769,749.75 = 769,749.75/x
  3. Step 3: Cross multiply
    498,906x = 769,749.75 × 769,749.75
  4. Step 4: Simplify right side
    498,906x = 592,514,677,625.06
  5. Step 5: Solve for x
    x = 592,514,677,625.06/498,906
  6. Step 6: Final answer
    x = 1,187,627.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.