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Finding the Third Proportional to 476,640 and 698,922

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Solution

The third proportional to 476,640 and 698,922 is: 1,024,865.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,640 : 698,922 = 698,922 : x
  2. Step 2: Convert to fraction form
    476,640/698,922 = 698,922/x
  3. Step 3: Cross multiply
    476,640x = 698,922 × 698,922
  4. Step 4: Simplify right side
    476,640x = 488,491,962,084
  5. Step 5: Solve for x
    x = 488,491,962,084/476,640
  6. Step 6: Final answer
    x = 1,024,865.65

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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.