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Finding the Third Proportional to 388,788 and 608,577

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Solution

The third proportional to 388,788 and 608,577 is: 952,616.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,788 : 608,577 = 608,577 : x
  2. Step 2: Convert to fraction form
    388,788/608,577 = 608,577/x
  3. Step 3: Cross multiply
    388,788x = 608,577 × 608,577
  4. Step 4: Simplify right side
    388,788x = 370,365,964,929
  5. Step 5: Solve for x
    x = 370,365,964,929/388,788
  6. Step 6: Final answer
    x = 952,616.76

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.