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Finding the Third Proportional to 514,482 and 804,651

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Solution

The third proportional to 514,482 and 804,651 is: 1,258,475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,482 : 804,651 = 804,651 : x
  2. Step 2: Convert to fraction form
    514,482/804,651 = 804,651/x
  3. Step 3: Cross multiply
    514,482x = 804,651 × 804,651
  4. Step 4: Simplify right side
    514,482x = 647,463,231,801
  5. Step 5: Solve for x
    x = 647,463,231,801/514,482
  6. Step 6: Final answer
    x = 1,258,475.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.