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Finding the Third Proportional to 302,756.50 and 713,680

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Solution

The third proportional to 302,756.50 and 713,680 is: 1,682,339.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,756.50 : 713,680 = 713,680 : x
  2. Step 2: Convert to fraction form
    302,756.50/713,680 = 713,680/x
  3. Step 3: Cross multiply
    302,756.50x = 713,680 × 713,680
  4. Step 4: Simplify right side
    302,756.50x = 509,339,142,400
  5. Step 5: Solve for x
    x = 509,339,142,400/302,756.50
  6. Step 6: Final answer
    x = 1,682,339.25

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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.