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Finding the Third Proportional to 404,708.91 and 584,688.38

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Solution

The third proportional to 404,708.91 and 584,688.38 is: 844,707.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,708.91 : 584,688.38 = 584,688.38 : x
  2. Step 2: Convert to fraction form
    404,708.91/584,688.38 = 584,688.38/x
  3. Step 3: Cross multiply
    404,708.91x = 584,688.38 × 584,688.38
  4. Step 4: Simplify right side
    404,708.91x = 341,860,495,860.14
  5. Step 5: Solve for x
    x = 341,860,495,860.14/404,708.91
  6. Step 6: Final answer
    x = 844,707.12

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.