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Finding the Third Proportional to 302,762 and 713,692

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Solution

The third proportional to 302,762 and 713,692 is: 1,682,365.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,762 : 713,692 = 713,692 : x
  2. Step 2: Convert to fraction form
    302,762/713,692 = 713,692/x
  3. Step 3: Cross multiply
    302,762x = 713,692 × 713,692
  4. Step 4: Simplify right side
    302,762x = 509,356,270,864
  5. Step 5: Solve for x
    x = 509,356,270,864/302,762
  6. Step 6: Final answer
    x = 1,682,365.26

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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.