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Finding the Third Proportional to 307,014.75 and 473,645.25

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Solution

The third proportional to 307,014.75 and 473,645.25 is: 730,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,014.75 : 473,645.25 = 473,645.25 : x
  2. Step 2: Convert to fraction form
    307,014.75/473,645.25 = 473,645.25/x
  3. Step 3: Cross multiply
    307,014.75x = 473,645.25 × 473,645.25
  4. Step 4: Simplify right side
    307,014.75x = 224,339,822,847.56
  5. Step 5: Solve for x
    x = 224,339,822,847.56/307,014.75
  6. Step 6: Final answer
    x = 730,713.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.