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Finding the Third Proportional to 476,284.50 and 656,106.75

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Solution

The third proportional to 476,284.50 and 656,106.75 is: 903,821.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,284.50 : 656,106.75 = 656,106.75 : x
  2. Step 2: Convert to fraction form
    476,284.50/656,106.75 = 656,106.75/x
  3. Step 3: Cross multiply
    476,284.50x = 656,106.75 × 656,106.75
  4. Step 4: Simplify right side
    476,284.50x = 430,476,067,395.56
  5. Step 5: Solve for x
    x = 430,476,067,395.56/476,284.50
  6. Step 6: Final answer
    x = 903,821.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.