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Finding the Third Proportional to 265,498 and 573,218

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Solution

The third proportional to 265,498 and 573,218 is: 1,237,594.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,498 : 573,218 = 573,218 : x
  2. Step 2: Convert to fraction form
    265,498/573,218 = 573,218/x
  3. Step 3: Cross multiply
    265,498x = 573,218 × 573,218
  4. Step 4: Simplify right side
    265,498x = 328,578,875,524
  5. Step 5: Solve for x
    x = 328,578,875,524/265,498
  6. Step 6: Final answer
    x = 1,237,594.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.