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Finding the Third Proportional to 529,760 and 1,160,293

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Solution

The third proportional to 529,760 and 1,160,293 is: 2,541,301.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,760 : 1,160,293 = 1,160,293 : x
  2. Step 2: Convert to fraction form
    529,760/1,160,293 = 1,160,293/x
  3. Step 3: Cross multiply
    529,760x = 1,160,293 × 1,160,293
  4. Step 4: Simplify right side
    529,760x = 1,346,279,845,849
  5. Step 5: Solve for x
    x = 1,346,279,845,849/529,760
  6. Step 6: Final answer
    x = 2,541,301.43

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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.