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Finding the Third Proportional to 272,970 and 590,328

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Solution

The third proportional to 272,970 and 590,328 is: 1,276,649.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,970 : 590,328 = 590,328 : x
  2. Step 2: Convert to fraction form
    272,970/590,328 = 590,328/x
  3. Step 3: Cross multiply
    272,970x = 590,328 × 590,328
  4. Step 4: Simplify right side
    272,970x = 348,487,147,584
  5. Step 5: Solve for x
    x = 348,487,147,584/272,970
  6. Step 6: Final answer
    x = 1,276,649.99

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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.