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Finding the Third Proportional to 264,871 and 574,893

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Solution

The third proportional to 264,871 and 574,893 is: 1,247,784.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,871 : 574,893 = 574,893 : x
  2. Step 2: Convert to fraction form
    264,871/574,893 = 574,893/x
  3. Step 3: Cross multiply
    264,871x = 574,893 × 574,893
  4. Step 4: Simplify right side
    264,871x = 330,501,961,449
  5. Step 5: Solve for x
    x = 330,501,961,449/264,871
  6. Step 6: Final answer
    x = 1,247,784.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.