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Finding the Third Proportional to 309,856.50 and 477,778.50

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Solution

The third proportional to 309,856.50 and 477,778.50 is: 736,703.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,856.50 : 477,778.50 = 477,778.50 : x
  2. Step 2: Convert to fraction form
    309,856.50/477,778.50 = 477,778.50/x
  3. Step 3: Cross multiply
    309,856.50x = 477,778.50 × 477,778.50
  4. Step 4: Simplify right side
    309,856.50x = 228,272,295,062.25
  5. Step 5: Solve for x
    x = 228,272,295,062.25/309,856.50
  6. Step 6: Final answer
    x = 736,703.26

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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.