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Finding the Third Proportional to 475,741 and 736,144

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Solution

The third proportional to 475,741 and 736,144 is: 1,139,081.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,741 : 736,144 = 736,144 : x
  2. Step 2: Convert to fraction form
    475,741/736,144 = 736,144/x
  3. Step 3: Cross multiply
    475,741x = 736,144 × 736,144
  4. Step 4: Simplify right side
    475,741x = 541,907,988,736
  5. Step 5: Solve for x
    x = 541,907,988,736/475,741
  6. Step 6: Final answer
    x = 1,139,081.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.