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Finding the Third Proportional to 365,214 and 788,748

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Solution

The third proportional to 365,214 and 788,748 is: 1,703,448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,214 : 788,748 = 788,748 : x
  2. Step 2: Convert to fraction form
    365,214/788,748 = 788,748/x
  3. Step 3: Cross multiply
    365,214x = 788,748 × 788,748
  4. Step 4: Simplify right side
    365,214x = 622,123,407,504
  5. Step 5: Solve for x
    x = 622,123,407,504/365,214
  6. Step 6: Final answer
    x = 1,703,448.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.