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Finding the Third Proportional to 302,749.31 and 713,664.84

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Solution

The third proportional to 302,749.31 and 713,664.84 is: 1,682,307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,749.31 : 713,664.84 = 713,664.84 : x
  2. Step 2: Convert to fraction form
    302,749.31/713,664.84 = 713,664.84/x
  3. Step 3: Cross multiply
    302,749.31x = 713,664.84 × 713,664.84
  4. Step 4: Simplify right side
    302,749.31x = 509,317,509,204.71
  5. Step 5: Solve for x
    x = 509,317,509,204.71/302,749.31
  6. Step 6: Final answer
    x = 1,682,307.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.