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Finding the Third Proportional to 475,429.50 and 647,534.25

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Solution

The third proportional to 475,429.50 and 647,534.25 is: 881,940.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,429.50 : 647,534.25 = 647,534.25 : x
  2. Step 2: Convert to fraction form
    475,429.50/647,534.25 = 647,534.25/x
  3. Step 3: Cross multiply
    475,429.50x = 647,534.25 × 647,534.25
  4. Step 4: Simplify right side
    475,429.50x = 419,300,604,923.06
  5. Step 5: Solve for x
    x = 419,300,604,923.06/475,429.50
  6. Step 6: Final answer
    x = 881,940.66

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