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Finding the Third Proportional to 199,435.61 and 437,622.12

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Solution

The third proportional to 199,435.61 and 437,622.12 is: 960,275.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,435.61 : 437,622.12 = 437,622.12 : x
  2. Step 2: Convert to fraction form
    199,435.61/437,622.12 = 437,622.12/x
  3. Step 3: Cross multiply
    199,435.61x = 437,622.12 × 437,622.12
  4. Step 4: Simplify right side
    199,435.61x = 191,513,117,451.67
  5. Step 5: Solve for x
    x = 191,513,117,451.67/199,435.61
  6. Step 6: Final answer
    x = 960,275.46

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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.