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Finding the Third Proportional to 476,076 and 652,812

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Solution

The third proportional to 476,076 and 652,812 is: 895,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,076 : 652,812 = 652,812 : x
  2. Step 2: Convert to fraction form
    476,076/652,812 = 652,812/x
  3. Step 3: Cross multiply
    476,076x = 652,812 × 652,812
  4. Step 4: Simplify right side
    476,076x = 426,163,507,344
  5. Step 5: Solve for x
    x = 426,163,507,344/476,076
  6. Step 6: Final answer
    x = 895,158.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.