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Finding the Third Proportional to 530,824 and 844,323

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Solution

The third proportional to 530,824 and 844,323 is: 1,342,971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,824 : 844,323 = 844,323 : x
  2. Step 2: Convert to fraction form
    530,824/844,323 = 844,323/x
  3. Step 3: Cross multiply
    530,824x = 844,323 × 844,323
  4. Step 4: Simplify right side
    530,824x = 712,881,328,329
  5. Step 5: Solve for x
    x = 712,881,328,329/530,824
  6. Step 6: Final answer
    x = 1,342,971.17

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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.