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Finding the Third Proportional to 245,592 and 542,801

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Solution

The third proportional to 245,592 and 542,801 is: 1,199,684.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,592 : 542,801 = 542,801 : x
  2. Step 2: Convert to fraction form
    245,592/542,801 = 542,801/x
  3. Step 3: Cross multiply
    245,592x = 542,801 × 542,801
  4. Step 4: Simplify right side
    245,592x = 294,632,925,601
  5. Step 5: Solve for x
    x = 294,632,925,601/245,592
  6. Step 6: Final answer
    x = 1,199,684.54

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.