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Finding the Third Proportional to 596,026.69 and 851,213.81

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Solution

The third proportional to 596,026.69 and 851,213.81 is: 1,215,658.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,026.69 : 851,213.81 = 851,213.81 : x
  2. Step 2: Convert to fraction form
    596,026.69/851,213.81 = 851,213.81/x
  3. Step 3: Cross multiply
    596,026.69x = 851,213.81 × 851,213.81
  4. Step 4: Simplify right side
    596,026.69x = 724,564,954,590.79
  5. Step 5: Solve for x
    x = 724,564,954,590.79/596,026.69
  6. Step 6: Final answer
    x = 1,215,658.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.