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Finding the Third Proportional to 242,977 and 525,890

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Solution

The third proportional to 242,977 and 525,890 is: 1,138,215.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,977 : 525,890 = 525,890 : x
  2. Step 2: Convert to fraction form
    242,977/525,890 = 525,890/x
  3. Step 3: Cross multiply
    242,977x = 525,890 × 525,890
  4. Step 4: Simplify right side
    242,977x = 276,560,292,100
  5. Step 5: Solve for x
    x = 276,560,292,100/242,977
  6. Step 6: Final answer
    x = 1,138,215.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.