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Finding the Third Proportional to 364,120 and 745,736

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Solution

The third proportional to 364,120 and 745,736 is: 1,527,304.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,120 : 745,736 = 745,736 : x
  2. Step 2: Convert to fraction form
    364,120/745,736 = 745,736/x
  3. Step 3: Cross multiply
    364,120x = 745,736 × 745,736
  4. Step 4: Simplify right side
    364,120x = 556,122,181,696
  5. Step 5: Solve for x
    x = 556,122,181,696/364,120
  6. Step 6: Final answer
    x = 1,527,304.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.