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Finding the Third Proportional to 584,424 and 791,964

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Solution

The third proportional to 584,424 and 791,964 is: 1,073,205.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,424 : 791,964 = 791,964 : x
  2. Step 2: Convert to fraction form
    584,424/791,964 = 791,964/x
  3. Step 3: Cross multiply
    584,424x = 791,964 × 791,964
  4. Step 4: Simplify right side
    584,424x = 627,206,977,296
  5. Step 5: Solve for x
    x = 627,206,977,296/584,424
  6. Step 6: Final answer
    x = 1,073,205.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.