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Finding the Third Proportional to 273,102 and 559,323

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Solution

The third proportional to 273,102 and 559,323 is: 1,145,514.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,102 : 559,323 = 559,323 : x
  2. Step 2: Convert to fraction form
    273,102/559,323 = 559,323/x
  3. Step 3: Cross multiply
    273,102x = 559,323 × 559,323
  4. Step 4: Simplify right side
    273,102x = 312,842,218,329
  5. Step 5: Solve for x
    x = 312,842,218,329/273,102
  6. Step 6: Final answer
    x = 1,145,514.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.