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Finding the Third Proportional to 270,842 and 571,328

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Solution

The third proportional to 270,842 and 571,328 is: 1,205,188.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,842 : 571,328 = 571,328 : x
  2. Step 2: Convert to fraction form
    270,842/571,328 = 571,328/x
  3. Step 3: Cross multiply
    270,842x = 571,328 × 571,328
  4. Step 4: Simplify right side
    270,842x = 326,415,683,584
  5. Step 5: Solve for x
    x = 326,415,683,584/270,842
  6. Step 6: Final answer
    x = 1,205,188.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.