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Finding the Third Proportional to 337,632 and 788,784

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Solution

The third proportional to 337,632 and 788,784 is: 1,842,776.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,632 : 788,784 = 788,784 : x
  2. Step 2: Convert to fraction form
    337,632/788,784 = 788,784/x
  3. Step 3: Cross multiply
    337,632x = 788,784 × 788,784
  4. Step 4: Simplify right side
    337,632x = 622,180,198,656
  5. Step 5: Solve for x
    x = 622,180,198,656/337,632
  6. Step 6: Final answer
    x = 1,842,776.15

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.