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Finding the Third Proportional to 583,714 and 838,707

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Solution

The third proportional to 583,714 and 838,707 is: 1,205,092.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,714 : 838,707 = 838,707 : x
  2. Step 2: Convert to fraction form
    583,714/838,707 = 838,707/x
  3. Step 3: Cross multiply
    583,714x = 838,707 × 838,707
  4. Step 4: Simplify right side
    583,714x = 703,429,431,849
  5. Step 5: Solve for x
    x = 703,429,431,849/583,714
  6. Step 6: Final answer
    x = 1,205,092.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.