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Finding the Third Proportional to 530,865 and 844,386

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Solution

The third proportional to 530,865 and 844,386 is: 1,343,067.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,865 : 844,386 = 844,386 : x
  2. Step 2: Convert to fraction form
    530,865/844,386 = 844,386/x
  3. Step 3: Cross multiply
    530,865x = 844,386 × 844,386
  4. Step 4: Simplify right side
    530,865x = 712,987,716,996
  5. Step 5: Solve for x
    x = 712,987,716,996/530,865
  6. Step 6: Final answer
    x = 1,343,067.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.