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Finding the Third Proportional to 272,064 and 583,438

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Solution

The third proportional to 272,064 and 583,438 is: 1,251,175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,064 : 583,438 = 583,438 : x
  2. Step 2: Convert to fraction form
    272,064/583,438 = 583,438/x
  3. Step 3: Cross multiply
    272,064x = 583,438 × 583,438
  4. Step 4: Simplify right side
    272,064x = 340,399,899,844
  5. Step 5: Solve for x
    x = 340,399,899,844/272,064
  6. Step 6: Final answer
    x = 1,251,175.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.