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Finding the Third Proportional to 605,647.13 and 882,181.13

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Solution

The third proportional to 605,647.13 and 882,181.13 is: 1,284,978.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,647.13 : 882,181.13 = 882,181.13 : x
  2. Step 2: Convert to fraction form
    605,647.13/882,181.13 = 882,181.13/x
  3. Step 3: Cross multiply
    605,647.13x = 882,181.13 × 882,181.13
  4. Step 4: Simplify right side
    605,647.13x = 778,243,537,306.27
  5. Step 5: Solve for x
    x = 778,243,537,306.27/605,647.13
  6. Step 6: Final answer
    x = 1,284,978.51

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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.