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Finding the Third Proportional to 364,107 and 774,141

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Solution

The third proportional to 364,107 and 774,141 is: 1,645,929.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,107 : 774,141 = 774,141 : x
  2. Step 2: Convert to fraction form
    364,107/774,141 = 774,141/x
  3. Step 3: Cross multiply
    364,107x = 774,141 × 774,141
  4. Step 4: Simplify right side
    364,107x = 599,294,287,881
  5. Step 5: Solve for x
    x = 599,294,287,881/364,107
  6. Step 6: Final answer
    x = 1,645,929.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.