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Finding the Third Proportional to 451,526.25 and 614,999.25

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Solution

The third proportional to 451,526.25 and 614,999.25 is: 837,656.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,526.25 : 614,999.25 = 614,999.25 : x
  2. Step 2: Convert to fraction form
    451,526.25/614,999.25 = 614,999.25/x
  3. Step 3: Cross multiply
    451,526.25x = 614,999.25 × 614,999.25
  4. Step 4: Simplify right side
    451,526.25x = 378,224,077,500.56
  5. Step 5: Solve for x
    x = 378,224,077,500.56/451,526.25
  6. Step 6: Final answer
    x = 837,656.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.