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Finding the Third Proportional to 563,462.50 and 1,252,907

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Solution

The third proportional to 563,462.50 and 1,252,907 is: 2,785,945.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,462.50 : 1,252,907 = 1,252,907 : x
  2. Step 2: Convert to fraction form
    563,462.50/1,252,907 = 1,252,907/x
  3. Step 3: Cross multiply
    563,462.50x = 1,252,907 × 1,252,907
  4. Step 4: Simplify right side
    563,462.50x = 1,569,775,950,649
  5. Step 5: Solve for x
    x = 1,569,775,950,649/563,462.50
  6. Step 6: Final answer
    x = 2,785,945.74

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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.