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Finding the Third Proportional to 272,009 and 592,411

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Solution

The third proportional to 272,009 and 592,411 is: 1,290,217.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,009 : 592,411 = 592,411 : x
  2. Step 2: Convert to fraction form
    272,009/592,411 = 592,411/x
  3. Step 3: Cross multiply
    272,009x = 592,411 × 592,411
  4. Step 4: Simplify right side
    272,009x = 350,950,792,921
  5. Step 5: Solve for x
    x = 350,950,792,921/272,009
  6. Step 6: Final answer
    x = 1,290,217.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.