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Finding the Third Proportional to 199,499.06 and 437,756.63

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Solution

The third proportional to 199,499.06 and 437,756.63 is: 960,560.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,499.06 : 437,756.63 = 437,756.63 : x
  2. Step 2: Convert to fraction form
    199,499.06/437,756.63 = 437,756.63/x
  3. Step 3: Cross multiply
    199,499.06x = 437,756.63 × 437,756.63
  4. Step 4: Simplify right side
    199,499.06x = 191,630,862,731.39
  5. Step 5: Solve for x
    x = 191,630,862,731.39/199,499.06
  6. Step 6: Final answer
    x = 960,560.22

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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.