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Finding the Third Proportional to 435,768.75 and 594,091.13

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Solution

The third proportional to 435,768.75 and 594,091.13 is: 809,934.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,768.75 : 594,091.13 = 594,091.13 : x
  2. Step 2: Convert to fraction form
    435,768.75/594,091.13 = 594,091.13/x
  3. Step 3: Cross multiply
    435,768.75x = 594,091.13 × 594,091.13
  4. Step 4: Simplify right side
    435,768.75x = 352,944,264,803.77
  5. Step 5: Solve for x
    x = 352,944,264,803.77/435,768.75
  6. Step 6: Final answer
    x = 809,934.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.