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Finding the Third Proportional to 530,040 and 844,230

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Solution

The third proportional to 530,040 and 844,230 is: 1,344,661.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,040 : 844,230 = 844,230 : x
  2. Step 2: Convert to fraction form
    530,040/844,230 = 844,230/x
  3. Step 3: Cross multiply
    530,040x = 844,230 × 844,230
  4. Step 4: Simplify right side
    530,040x = 712,724,292,900
  5. Step 5: Solve for x
    x = 712,724,292,900/530,040
  6. Step 6: Final answer
    x = 1,344,661.33

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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.