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Finding the Third Proportional to 309,961.69 and 473,834.81

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Solution

The third proportional to 309,961.69 and 473,834.81 is: 724,345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,961.69 : 473,834.81 = 473,834.81 : x
  2. Step 2: Convert to fraction form
    309,961.69/473,834.81 = 473,834.81/x
  3. Step 3: Cross multiply
    309,961.69x = 473,834.81 × 473,834.81
  4. Step 4: Simplify right side
    309,961.69x = 224,519,429,536.91
  5. Step 5: Solve for x
    x = 224,519,429,536.91/309,961.69
  6. Step 6: Final answer
    x = 724,345.75

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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.