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Finding the Third Proportional to 584,088 and 853,166

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Solution

The third proportional to 584,088 and 853,166 is: 1,246,203.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,088 : 853,166 = 853,166 : x
  2. Step 2: Convert to fraction form
    584,088/853,166 = 853,166/x
  3. Step 3: Cross multiply
    584,088x = 853,166 × 853,166
  4. Step 4: Simplify right side
    584,088x = 727,892,223,556
  5. Step 5: Solve for x
    x = 727,892,223,556/584,088
  6. Step 6: Final answer
    x = 1,246,203.01

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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.