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Finding the Third Proportional to 563,450.25 and 1,252,882.50

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Solution

The third proportional to 563,450.25 and 1,252,882.50 is: 2,785,897.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,450.25 : 1,252,882.50 = 1,252,882.50 : x
  2. Step 2: Convert to fraction form
    563,450.25/1,252,882.50 = 1,252,882.50/x
  3. Step 3: Cross multiply
    563,450.25x = 1,252,882.50 × 1,252,882.50
  4. Step 4: Simplify right side
    563,450.25x = 1,569,714,558,806.25
  5. Step 5: Solve for x
    x = 1,569,714,558,806.25/563,450.25
  6. Step 6: Final answer
    x = 2,785,897.35

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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.