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Finding the Third Proportional to 559,204 and 855,070

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Solution

The third proportional to 559,204 and 855,070 is: 1,307,474.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,204 : 855,070 = 855,070 : x
  2. Step 2: Convert to fraction form
    559,204/855,070 = 855,070/x
  3. Step 3: Cross multiply
    559,204x = 855,070 × 855,070
  4. Step 4: Simplify right side
    559,204x = 731,144,704,900
  5. Step 5: Solve for x
    x = 731,144,704,900/559,204
  6. Step 6: Final answer
    x = 1,307,474.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.