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Finding the Third Proportional to 388,796 and 608,586

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Solution

The third proportional to 388,796 and 608,586 is: 952,625.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,796 : 608,586 = 608,586 : x
  2. Step 2: Convert to fraction form
    388,796/608,586 = 608,586/x
  3. Step 3: Cross multiply
    388,796x = 608,586 × 608,586
  4. Step 4: Simplify right side
    388,796x = 370,376,919,396
  5. Step 5: Solve for x
    x = 370,376,919,396/388,796
  6. Step 6: Final answer
    x = 952,625.33

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Why These Related Problems?

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