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Finding the Third Proportional to 357,285.94 and 766,376.44

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Solution

The third proportional to 357,285.94 and 766,376.44 is: 1,643,873.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,285.94 : 766,376.44 = 766,376.44 : x
  2. Step 2: Convert to fraction form
    357,285.94/766,376.44 = 766,376.44/x
  3. Step 3: Cross multiply
    357,285.94x = 766,376.44 × 766,376.44
  4. Step 4: Simplify right side
    357,285.94x = 587,332,843,955.19
  5. Step 5: Solve for x
    x = 587,332,843,955.19/357,285.94
  6. Step 6: Final answer
    x = 1,643,873.39

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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.