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Finding the Third Proportional to 270,906 and 592,122

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Solution

The third proportional to 270,906 and 592,122 is: 1,294,207.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,906 : 592,122 = 592,122 : x
  2. Step 2: Convert to fraction form
    270,906/592,122 = 592,122/x
  3. Step 3: Cross multiply
    270,906x = 592,122 × 592,122
  4. Step 4: Simplify right side
    270,906x = 350,608,462,884
  5. Step 5: Solve for x
    x = 350,608,462,884/270,906
  6. Step 6: Final answer
    x = 1,294,207.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.