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Finding the Third Proportional to 455,566.50 and 697,146.75

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Solution

The third proportional to 455,566.50 and 697,146.75 is: 1,066,833.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,566.50 : 697,146.75 = 697,146.75 : x
  2. Step 2: Convert to fraction form
    455,566.50/697,146.75 = 697,146.75/x
  3. Step 3: Cross multiply
    455,566.50x = 697,146.75 × 697,146.75
  4. Step 4: Simplify right side
    455,566.50x = 486,013,591,035.56
  5. Step 5: Solve for x
    x = 486,013,591,035.56/455,566.50
  6. Step 6: Final answer
    x = 1,066,833.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.