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Finding the Third Proportional to 302,764.50 and 713,701.13

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Solution

The third proportional to 302,764.50 and 713,701.13 is: 1,682,394.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,764.50 : 713,701.13 = 713,701.13 : x
  2. Step 2: Convert to fraction form
    302,764.50/713,701.13 = 713,701.13/x
  3. Step 3: Cross multiply
    302,764.50x = 713,701.13 × 713,701.13
  4. Step 4: Simplify right side
    302,764.50x = 509,369,295,826.27
  5. Step 5: Solve for x
    x = 509,369,295,826.27/302,764.50
  6. Step 6: Final answer
    x = 1,682,394.39

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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.