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Finding the Third Proportional to 523,824 and 819,432

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Solution

The third proportional to 523,824 and 819,432 is: 1,281,859.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,824 : 819,432 = 819,432 : x
  2. Step 2: Convert to fraction form
    523,824/819,432 = 819,432/x
  3. Step 3: Cross multiply
    523,824x = 819,432 × 819,432
  4. Step 4: Simplify right side
    523,824x = 671,468,802,624
  5. Step 5: Solve for x
    x = 671,468,802,624/523,824
  6. Step 6: Final answer
    x = 1,281,859.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.