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Finding the Third Proportional to 262,064 and 544,864

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Solution

The third proportional to 262,064 and 544,864 is: 1,132,840.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,064 : 544,864 = 544,864 : x
  2. Step 2: Convert to fraction form
    262,064/544,864 = 544,864/x
  3. Step 3: Cross multiply
    262,064x = 544,864 × 544,864
  4. Step 4: Simplify right side
    262,064x = 296,876,778,496
  5. Step 5: Solve for x
    x = 296,876,778,496/262,064
  6. Step 6: Final answer
    x = 1,132,840.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.