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Finding the Third Proportional to 475,326 and 742,149

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Solution

The third proportional to 475,326 and 742,149 is: 1,158,752.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,326 : 742,149 = 742,149 : x
  2. Step 2: Convert to fraction form
    475,326/742,149 = 742,149/x
  3. Step 3: Cross multiply
    475,326x = 742,149 × 742,149
  4. Step 4: Simplify right side
    475,326x = 550,785,138,201
  5. Step 5: Solve for x
    x = 550,785,138,201/475,326
  6. Step 6: Final answer
    x = 1,158,752.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.