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Finding the Third Proportional to 284,856.75 and 434,818.13

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Solution

The third proportional to 284,856.75 and 434,818.13 is: 663,725.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,856.75 : 434,818.13 = 434,818.13 : x
  2. Step 2: Convert to fraction form
    284,856.75/434,818.13 = 434,818.13/x
  3. Step 3: Cross multiply
    284,856.75x = 434,818.13 × 434,818.13
  4. Step 4: Simplify right side
    284,856.75x = 189,066,801,828.52
  5. Step 5: Solve for x
    x = 189,066,801,828.52/284,856.75
  6. Step 6: Final answer
    x = 663,725.90

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Why These Related Problems?

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