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Finding the Third Proportional to 284,886.91 and 434,566.27

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Solution

The third proportional to 284,886.91 and 434,566.27 is: 662,887.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,886.91 : 434,566.27 = 434,566.27 : x
  2. Step 2: Convert to fraction form
    284,886.91/434,566.27 = 434,566.27/x
  3. Step 3: Cross multiply
    284,886.91x = 434,566.27 × 434,566.27
  4. Step 4: Simplify right side
    284,886.91x = 188,847,839,219.26
  5. Step 5: Solve for x
    x = 188,847,839,219.26/284,886.91
  6. Step 6: Final answer
    x = 662,887.03

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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.