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Finding the Third Proportional to 496,590.75 and 786,864.38

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Solution

The third proportional to 496,590.75 and 786,864.38 is: 1,246,812.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,590.75 : 786,864.38 = 786,864.38 : x
  2. Step 2: Convert to fraction form
    496,590.75/786,864.38 = 786,864.38/x
  3. Step 3: Cross multiply
    496,590.75x = 786,864.38 × 786,864.38
  4. Step 4: Simplify right side
    496,590.75x = 619,155,544,644.14
  5. Step 5: Solve for x
    x = 619,155,544,644.14/496,590.75
  6. Step 6: Final answer
    x = 1,246,812.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.