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Finding the Third Proportional to 236,827.55 and 519,064.03

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Solution

The third proportional to 236,827.55 and 519,064.03 is: 1,137,652.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,827.55 : 519,064.03 = 519,064.03 : x
  2. Step 2: Convert to fraction form
    236,827.55/519,064.03 = 519,064.03/x
  3. Step 3: Cross multiply
    236,827.55x = 519,064.03 × 519,064.03
  4. Step 4: Simplify right side
    236,827.55x = 269,427,468,537.50
  5. Step 5: Solve for x
    x = 269,427,468,537.50/236,827.55
  6. Step 6: Final answer
    x = 1,137,652.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.