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Finding the Third Proportional to 233,790 and 547,539

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Solution

The third proportional to 233,790 and 547,539 is: 1,282,342.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,790 : 547,539 = 547,539 : x
  2. Step 2: Convert to fraction form
    233,790/547,539 = 547,539/x
  3. Step 3: Cross multiply
    233,790x = 547,539 × 547,539
  4. Step 4: Simplify right side
    233,790x = 299,798,956,521
  5. Step 5: Solve for x
    x = 299,798,956,521/233,790
  6. Step 6: Final answer
    x = 1,282,342.94

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.