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Finding the Third Proportional to 563,914 and 830,295

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Solution

The third proportional to 563,914 and 830,295 is: 1,222,508.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,914 : 830,295 = 830,295 : x
  2. Step 2: Convert to fraction form
    563,914/830,295 = 830,295/x
  3. Step 3: Cross multiply
    563,914x = 830,295 × 830,295
  4. Step 4: Simplify right side
    563,914x = 689,389,787,025
  5. Step 5: Solve for x
    x = 689,389,787,025/563,914
  6. Step 6: Final answer
    x = 1,222,508.73

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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.