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Finding the Third Proportional to 605,648.25 and 882,182.81

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Solution

The third proportional to 605,648.25 and 882,182.81 is: 1,284,981.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,648.25 : 882,182.81 = 882,182.81 : x
  2. Step 2: Convert to fraction form
    605,648.25/882,182.81 = 882,182.81/x
  3. Step 3: Cross multiply
    605,648.25x = 882,182.81 × 882,182.81
  4. Step 4: Simplify right side
    605,648.25x = 778,246,514,670.41
  5. Step 5: Solve for x
    x = 778,246,514,670.41/605,648.25
  6. Step 6: Final answer
    x = 1,284,981.03

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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.