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Finding the Third Proportional to 309,200.06 and 472,995.98

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Solution

The third proportional to 309,200.06 and 472,995.98 is: 723,561.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,200.06 : 472,995.98 = 472,995.98 : x
  2. Step 2: Convert to fraction form
    309,200.06/472,995.98 = 472,995.98/x
  3. Step 3: Cross multiply
    309,200.06x = 472,995.98 × 472,995.98
  4. Step 4: Simplify right side
    309,200.06x = 223,725,201,234.88
  5. Step 5: Solve for x
    x = 223,725,201,234.88/309,200.06
  6. Step 6: Final answer
    x = 723,561.31

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.