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Finding the Third Proportional to 273,106 and 559,331

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Solution

The third proportional to 273,106 and 559,331 is: 1,145,530.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,106 : 559,331 = 559,331 : x
  2. Step 2: Convert to fraction form
    273,106/559,331 = 559,331/x
  3. Step 3: Cross multiply
    273,106x = 559,331 × 559,331
  4. Step 4: Simplify right side
    273,106x = 312,851,167,561
  5. Step 5: Solve for x
    x = 312,851,167,561/273,106
  6. Step 6: Final answer
    x = 1,145,530.19

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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.