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Finding the Third Proportional to 258,056 and 547,424

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Solution

The third proportional to 258,056 and 547,424 is: 1,161,271.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,056 : 547,424 = 547,424 : x
  2. Step 2: Convert to fraction form
    258,056/547,424 = 547,424/x
  3. Step 3: Cross multiply
    258,056x = 547,424 × 547,424
  4. Step 4: Simplify right side
    258,056x = 299,673,035,776
  5. Step 5: Solve for x
    x = 299,673,035,776/258,056
  6. Step 6: Final answer
    x = 1,161,271.34

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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.