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Finding the Third Proportional to 416,524 and 608,998

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Solution

The third proportional to 416,524 and 608,998 is: 890,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,524 : 608,998 = 608,998 : x
  2. Step 2: Convert to fraction form
    416,524/608,998 = 608,998/x
  3. Step 3: Cross multiply
    416,524x = 608,998 × 608,998
  4. Step 4: Simplify right side
    416,524x = 370,878,564,004
  5. Step 5: Solve for x
    x = 370,878,564,004/416,524
  6. Step 6: Final answer
    x = 890,413.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.