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Finding the Third Proportional to 572,289.19 and 885,736.69

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Solution

The third proportional to 572,289.19 and 885,736.69 is: 1,370,861.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,289.19 : 885,736.69 = 885,736.69 : x
  2. Step 2: Convert to fraction form
    572,289.19/885,736.69 = 885,736.69/x
  3. Step 3: Cross multiply
    572,289.19x = 885,736.69 × 885,736.69
  4. Step 4: Simplify right side
    572,289.19x = 784,529,479,583.47
  5. Step 5: Solve for x
    x = 784,529,479,583.47/572,289.19
  6. Step 6: Final answer
    x = 1,370,861.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.