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Finding the Third Proportional to 563,326 and 1,252,600

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Solution

The third proportional to 563,326 and 1,252,600 is: 2,785,255.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,326 : 1,252,600 = 1,252,600 : x
  2. Step 2: Convert to fraction form
    563,326/1,252,600 = 1,252,600/x
  3. Step 3: Cross multiply
    563,326x = 1,252,600 × 1,252,600
  4. Step 4: Simplify right side
    563,326x = 1,569,006,760,000
  5. Step 5: Solve for x
    x = 1,569,006,760,000/563,326
  6. Step 6: Final answer
    x = 2,785,255.36

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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.