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Finding the Third Proportional to 475,344 and 742,176

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Solution

The third proportional to 475,344 and 742,176 is: 1,158,792.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,344 : 742,176 = 742,176 : x
  2. Step 2: Convert to fraction form
    475,344/742,176 = 742,176/x
  3. Step 3: Cross multiply
    475,344x = 742,176 × 742,176
  4. Step 4: Simplify right side
    475,344x = 550,825,214,976
  5. Step 5: Solve for x
    x = 550,825,214,976/475,344
  6. Step 6: Final answer
    x = 1,158,792.82

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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.