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Finding the Third Proportional to 547,464 and 818,984

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Solution

The third proportional to 547,464 and 818,984 is: 1,225,166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,464 : 818,984 = 818,984 : x
  2. Step 2: Convert to fraction form
    547,464/818,984 = 818,984/x
  3. Step 3: Cross multiply
    547,464x = 818,984 × 818,984
  4. Step 4: Simplify right side
    547,464x = 670,734,792,256
  5. Step 5: Solve for x
    x = 670,734,792,256/547,464
  6. Step 6: Final answer
    x = 1,225,166.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.