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Finding the Third Proportional to 337,650 and 788,829

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Solution

The third proportional to 337,650 and 788,829 is: 1,842,888.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,650 : 788,829 = 788,829 : x
  2. Step 2: Convert to fraction form
    337,650/788,829 = 788,829/x
  3. Step 3: Cross multiply
    337,650x = 788,829 × 788,829
  4. Step 4: Simplify right side
    337,650x = 622,251,191,241
  5. Step 5: Solve for x
    x = 622,251,191,241/337,650
  6. Step 6: Final answer
    x = 1,842,888.17

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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.