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Finding the Third Proportional to 272,897 and 559,306

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Solution

The third proportional to 272,897 and 559,306 is: 1,146,305.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,897 : 559,306 = 559,306 : x
  2. Step 2: Convert to fraction form
    272,897/559,306 = 559,306/x
  3. Step 3: Cross multiply
    272,897x = 559,306 × 559,306
  4. Step 4: Simplify right side
    272,897x = 312,823,201,636
  5. Step 5: Solve for x
    x = 312,823,201,636/272,897
  6. Step 6: Final answer
    x = 1,146,305.02

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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.