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Finding the Third Proportional to 553,728 and 791,832

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Solution

The third proportional to 553,728 and 791,832 is: 1,132,321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,728 : 791,832 = 791,832 : x
  2. Step 2: Convert to fraction form
    553,728/791,832 = 791,832/x
  3. Step 3: Cross multiply
    553,728x = 791,832 × 791,832
  4. Step 4: Simplify right side
    553,728x = 626,997,916,224
  5. Step 5: Solve for x
    x = 626,997,916,224/553,728
  6. Step 6: Final answer
    x = 1,132,321.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.