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Finding the Third Proportional to 302,766 and 713,702

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Solution

The third proportional to 302,766 and 713,702 is: 1,682,390.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,766 : 713,702 = 713,702 : x
  2. Step 2: Convert to fraction form
    302,766/713,702 = 713,702/x
  3. Step 3: Cross multiply
    302,766x = 713,702 × 713,702
  4. Step 4: Simplify right side
    302,766x = 509,370,544,804
  5. Step 5: Solve for x
    x = 509,370,544,804/302,766
  6. Step 6: Final answer
    x = 1,682,390.18

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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.