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Finding the Third Proportional to 199,609.67 and 437,864.52

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Solution

The third proportional to 199,609.67 and 437,864.52 is: 960,501.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,609.67 : 437,864.52 = 437,864.52 : x
  2. Step 2: Convert to fraction form
    199,609.67/437,864.52 = 437,864.52/x
  3. Step 3: Cross multiply
    199,609.67x = 437,864.52 × 437,864.52
  4. Step 4: Simplify right side
    199,609.67x = 191,725,341,312.74
  5. Step 5: Solve for x
    x = 191,725,341,312.74/199,609.67
  6. Step 6: Final answer
    x = 960,501.28

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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.