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Finding the Third Proportional to 258,798 and 548,699

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Solution

The third proportional to 258,798 and 548,699 is: 1,163,342.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,798 : 548,699 = 548,699 : x
  2. Step 2: Convert to fraction form
    258,798/548,699 = 548,699/x
  3. Step 3: Cross multiply
    258,798x = 548,699 × 548,699
  4. Step 4: Simplify right side
    258,798x = 301,070,592,601
  5. Step 5: Solve for x
    x = 301,070,592,601/258,798
  6. Step 6: Final answer
    x = 1,163,342.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.