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Finding the Third Proportional to 520,640 and 804,555

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Solution

The third proportional to 520,640 and 804,555 is: 1,243,294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,640 : 804,555 = 804,555 : x
  2. Step 2: Convert to fraction form
    520,640/804,555 = 804,555/x
  3. Step 3: Cross multiply
    520,640x = 804,555 × 804,555
  4. Step 4: Simplify right side
    520,640x = 647,308,748,025
  5. Step 5: Solve for x
    x = 647,308,748,025/520,640
  6. Step 6: Final answer
    x = 1,243,294.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.