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Finding the Third Proportional to 364,118 and 745,732

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Solution

The third proportional to 364,118 and 745,732 is: 1,527,296.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,118 : 745,732 = 745,732 : x
  2. Step 2: Convert to fraction form
    364,118/745,732 = 745,732/x
  3. Step 3: Cross multiply
    364,118x = 745,732 × 745,732
  4. Step 4: Simplify right side
    364,118x = 556,116,215,824
  5. Step 5: Solve for x
    x = 556,116,215,824/364,118
  6. Step 6: Final answer
    x = 1,527,296.69

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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.