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Finding the Third Proportional to 583,929 and 852,930

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Solution

The third proportional to 583,929 and 852,930 is: 1,245,852.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,929 : 852,930 = 852,930 : x
  2. Step 2: Convert to fraction form
    583,929/852,930 = 852,930/x
  3. Step 3: Cross multiply
    583,929x = 852,930 × 852,930
  4. Step 4: Simplify right side
    583,929x = 727,489,584,900
  5. Step 5: Solve for x
    x = 727,489,584,900/583,929
  6. Step 6: Final answer
    x = 1,245,852.81

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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.