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Finding the Third Proportional to 404,773 and 594,037

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Solution

The third proportional to 404,773 and 594,037 is: 871,797.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,773 : 594,037 = 594,037 : x
  2. Step 2: Convert to fraction form
    404,773/594,037 = 594,037/x
  3. Step 3: Cross multiply
    404,773x = 594,037 × 594,037
  4. Step 4: Simplify right side
    404,773x = 352,879,957,369
  5. Step 5: Solve for x
    x = 352,879,957,369/404,773
  6. Step 6: Final answer
    x = 871,797.17

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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.