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Finding the Third Proportional to 543,960 and 898,965

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Solution

The third proportional to 543,960 and 898,965 is: 1,485,657.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,960 : 898,965 = 898,965 : x
  2. Step 2: Convert to fraction form
    543,960/898,965 = 898,965/x
  3. Step 3: Cross multiply
    543,960x = 898,965 × 898,965
  4. Step 4: Simplify right side
    543,960x = 808,138,071,225
  5. Step 5: Solve for x
    x = 808,138,071,225/543,960
  6. Step 6: Final answer
    x = 1,485,657.16

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.