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Finding the Third Proportional to 766,152 and 1,159,879.50

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Solution

The third proportional to 766,152 and 1,159,879.50 is: 1,755,944.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,152 : 1,159,879.50 = 1,159,879.50 : x
  2. Step 2: Convert to fraction form
    766,152/1,159,879.50 = 1,159,879.50/x
  3. Step 3: Cross multiply
    766,152x = 1,159,879.50 × 1,159,879.50
  4. Step 4: Simplify right side
    766,152x = 1,345,320,454,520.25
  5. Step 5: Solve for x
    x = 1,345,320,454,520.25/766,152
  6. Step 6: Final answer
    x = 1,755,944.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.