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Finding the Third Proportional to 476,915.50 and 647,616.83

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Solution

The third proportional to 476,915.50 and 647,616.83 is: 879,416.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,915.50 : 647,616.83 = 647,616.83 : x
  2. Step 2: Convert to fraction form
    476,915.50/647,616.83 = 647,616.83/x
  3. Step 3: Cross multiply
    476,915.50x = 647,616.83 × 647,616.83
  4. Step 4: Simplify right side
    476,915.50x = 419,407,561,130.19
  5. Step 5: Solve for x
    x = 419,407,561,130.19/476,915.50
  6. Step 6: Final answer
    x = 879,416.92

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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.