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Finding the Third Proportional to 563,917 and 830,299.50

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Solution

The third proportional to 563,917 and 830,299.50 is: 1,222,515.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,917 : 830,299.50 = 830,299.50 : x
  2. Step 2: Convert to fraction form
    563,917/830,299.50 = 830,299.50/x
  3. Step 3: Cross multiply
    563,917x = 830,299.50 × 830,299.50
  4. Step 4: Simplify right side
    563,917x = 689,397,259,700.25
  5. Step 5: Solve for x
    x = 689,397,259,700.25/563,917
  6. Step 6: Final answer
    x = 1,222,515.48

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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.