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Finding the Third Proportional to 564,787.13 and 848,413.69

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Solution

The third proportional to 564,787.13 and 848,413.69 is: 1,274,472.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,787.13 : 848,413.69 = 848,413.69 : x
  2. Step 2: Convert to fraction form
    564,787.13/848,413.69 = 848,413.69/x
  3. Step 3: Cross multiply
    564,787.13x = 848,413.69 × 848,413.69
  4. Step 4: Simplify right side
    564,787.13x = 719,805,785,137.35
  5. Step 5: Solve for x
    x = 719,805,785,137.35/564,787.13
  6. Step 6: Final answer
    x = 1,274,472.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.