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Finding the Third Proportional to 562,970.25 and 871,382.81

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Solution

The third proportional to 562,970.25 and 871,382.81 is: 1,348,753.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,970.25 : 871,382.81 = 871,382.81 : x
  2. Step 2: Convert to fraction form
    562,970.25/871,382.81 = 871,382.81/x
  3. Step 3: Cross multiply
    562,970.25x = 871,382.81 × 871,382.81
  4. Step 4: Simplify right side
    562,970.25x = 759,308,005,920.41
  5. Step 5: Solve for x
    x = 759,308,005,920.41/562,970.25
  6. Step 6: Final answer
    x = 1,348,753.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.