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Finding the Third Proportional to 476,616 and 698,884

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Solution

The third proportional to 476,616 and 698,884 is: 1,024,805.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,616 : 698,884 = 698,884 : x
  2. Step 2: Convert to fraction form
    476,616/698,884 = 698,884/x
  3. Step 3: Cross multiply
    476,616x = 698,884 × 698,884
  4. Step 4: Simplify right side
    476,616x = 488,438,845,456
  5. Step 5: Solve for x
    x = 488,438,845,456/476,616
  6. Step 6: Final answer
    x = 1,024,805.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.