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Finding the Third Proportional to 368,036 and 788,536

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Solution

The third proportional to 368,036 and 788,536 is: 1,689,478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,036 : 788,536 = 788,536 : x
  2. Step 2: Convert to fraction form
    368,036/788,536 = 788,536/x
  3. Step 3: Cross multiply
    368,036x = 788,536 × 788,536
  4. Step 4: Simplify right side
    368,036x = 621,789,023,296
  5. Step 5: Solve for x
    x = 621,789,023,296/368,036
  6. Step 6: Final answer
    x = 1,689,478.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.