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Finding the Third Proportional to 365,769 and 584,091

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Solution

The third proportional to 365,769 and 584,091 is: 932,726.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,769 : 584,091 = 584,091 : x
  2. Step 2: Convert to fraction form
    365,769/584,091 = 584,091/x
  3. Step 3: Cross multiply
    365,769x = 584,091 × 584,091
  4. Step 4: Simplify right side
    365,769x = 341,162,296,281
  5. Step 5: Solve for x
    x = 341,162,296,281/365,769
  6. Step 6: Final answer
    x = 932,726.11

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.