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Finding the Third Proportional to 286,244.63 and 388,747.88

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Solution

The third proportional to 286,244.63 and 388,747.88 is: 527,957.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,244.63 : 388,747.88 = 388,747.88 : x
  2. Step 2: Convert to fraction form
    286,244.63/388,747.88 = 388,747.88/x
  3. Step 3: Cross multiply
    286,244.63x = 388,747.88 × 388,747.88
  4. Step 4: Simplify right side
    286,244.63x = 151,124,910,317.02
  5. Step 5: Solve for x
    x = 151,124,910,317.02/286,244.63
  6. Step 6: Final answer
    x = 527,957.20

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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.