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Finding the Third Proportional to 551,496 and 884,832

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Solution

The third proportional to 551,496 and 884,832 is: 1,419,643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,496 : 884,832 = 884,832 : x
  2. Step 2: Convert to fraction form
    551,496/884,832 = 884,832/x
  3. Step 3: Cross multiply
    551,496x = 884,832 × 884,832
  4. Step 4: Simplify right side
    551,496x = 782,927,668,224
  5. Step 5: Solve for x
    x = 782,927,668,224/551,496
  6. Step 6: Final answer
    x = 1,419,643.42

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.