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Finding the Third Proportional to 366,970 and 567,058

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Solution

The third proportional to 366,970 and 567,058 is: 876,242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,970 : 567,058 = 567,058 : x
  2. Step 2: Convert to fraction form
    366,970/567,058 = 567,058/x
  3. Step 3: Cross multiply
    366,970x = 567,058 × 567,058
  4. Step 4: Simplify right side
    366,970x = 321,554,775,364
  5. Step 5: Solve for x
    x = 321,554,775,364/366,970
  6. Step 6: Final answer
    x = 876,242.68

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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.