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Finding the Third Proportional to 258,897 and 578,058

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Solution

The third proportional to 258,897 and 578,058 is: 1,290,671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,897 : 578,058 = 578,058 : x
  2. Step 2: Convert to fraction form
    258,897/578,058 = 578,058/x
  3. Step 3: Cross multiply
    258,897x = 578,058 × 578,058
  4. Step 4: Simplify right side
    258,897x = 334,151,051,364
  5. Step 5: Solve for x
    x = 334,151,051,364/258,897
  6. Step 6: Final answer
    x = 1,290,671.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.