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Finding the Third Proportional to 348,586 and 538,539

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Solution

The third proportional to 348,586 and 538,539 is: 832,002.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,586 : 538,539 = 538,539 : x
  2. Step 2: Convert to fraction form
    348,586/538,539 = 538,539/x
  3. Step 3: Cross multiply
    348,586x = 538,539 × 538,539
  4. Step 4: Simplify right side
    348,586x = 290,024,254,521
  5. Step 5: Solve for x
    x = 290,024,254,521/348,586
  6. Step 6: Final answer
    x = 832,002.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.