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Finding the Third Proportional to 404,815.50 and 594,091.13

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Solution

The third proportional to 404,815.50 and 594,091.13 is: 871,864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,815.50 : 594,091.13 = 594,091.13 : x
  2. Step 2: Convert to fraction form
    404,815.50/594,091.13 = 594,091.13/x
  3. Step 3: Cross multiply
    404,815.50x = 594,091.13 × 594,091.13
  4. Step 4: Simplify right side
    404,815.50x = 352,944,264,803.77
  5. Step 5: Solve for x
    x = 352,944,264,803.77/404,815.50
  6. Step 6: Final answer
    x = 871,864.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.