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Finding the Third Proportional to 563,325 and 1,252,598

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Solution

The third proportional to 563,325 and 1,252,598 is: 2,785,251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,325 : 1,252,598 = 1,252,598 : x
  2. Step 2: Convert to fraction form
    563,325/1,252,598 = 1,252,598/x
  3. Step 3: Cross multiply
    563,325x = 1,252,598 × 1,252,598
  4. Step 4: Simplify right side
    563,325x = 1,569,001,749,604
  5. Step 5: Solve for x
    x = 1,569,001,749,604/563,325
  6. Step 6: Final answer
    x = 2,785,251.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.