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Finding the Third Proportional to 400,023 and 584,235

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Solution

The third proportional to 400,023 and 584,235 is: 853,277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,023 : 584,235 = 584,235 : x
  2. Step 2: Convert to fraction form
    400,023/584,235 = 584,235/x
  3. Step 3: Cross multiply
    400,023x = 584,235 × 584,235
  4. Step 4: Simplify right side
    400,023x = 341,330,535,225
  5. Step 5: Solve for x
    x = 341,330,535,225/400,023
  6. Step 6: Final answer
    x = 853,277.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.