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Finding the Third Proportional to 563,880 and 830,244

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Solution

The third proportional to 563,880 and 830,244 is: 1,222,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,880 : 830,244 = 830,244 : x
  2. Step 2: Convert to fraction form
    563,880/830,244 = 830,244/x
  3. Step 3: Cross multiply
    563,880x = 830,244 × 830,244
  4. Step 4: Simplify right side
    563,880x = 689,305,099,536
  5. Step 5: Solve for x
    x = 689,305,099,536/563,880
  6. Step 6: Final answer
    x = 1,222,432.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.