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Finding the Third Proportional to 584,092 and 853,172

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Solution

The third proportional to 584,092 and 853,172 is: 1,246,212.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,092 : 853,172 = 853,172 : x
  2. Step 2: Convert to fraction form
    584,092/853,172 = 853,172/x
  3. Step 3: Cross multiply
    584,092x = 853,172 × 853,172
  4. Step 4: Simplify right side
    584,092x = 727,902,461,584
  5. Step 5: Solve for x
    x = 727,902,461,584/584,092
  6. Step 6: Final answer
    x = 1,246,212.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.