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Finding the Third Proportional to 594,879 and 923,424

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Solution

The third proportional to 594,879 and 923,424 is: 1,433,420.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,879 : 923,424 = 923,424 : x
  2. Step 2: Convert to fraction form
    594,879/923,424 = 923,424/x
  3. Step 3: Cross multiply
    594,879x = 923,424 × 923,424
  4. Step 4: Simplify right side
    594,879x = 852,711,883,776
  5. Step 5: Solve for x
    x = 852,711,883,776/594,879
  6. Step 6: Final answer
    x = 1,433,420.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.