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Finding the Third Proportional to 565,467.75 and 1,219,502.25

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Solution

The third proportional to 565,467.75 and 1,219,502.25 is: 2,630,009.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,467.75 : 1,219,502.25 = 1,219,502.25 : x
  2. Step 2: Convert to fraction form
    565,467.75/1,219,502.25 = 1,219,502.25/x
  3. Step 3: Cross multiply
    565,467.75x = 1,219,502.25 × 1,219,502.25
  4. Step 4: Simplify right side
    565,467.75x = 1,487,185,737,755.06
  5. Step 5: Solve for x
    x = 1,487,185,737,755.06/565,467.75
  6. Step 6: Final answer
    x = 2,630,009.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.