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Finding the Third Proportional to 302,626.13 and 483,463.69

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Solution

The third proportional to 302,626.13 and 483,463.69 is: 772,362.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,626.13 : 483,463.69 = 483,463.69 : x
  2. Step 2: Convert to fraction form
    302,626.13/483,463.69 = 483,463.69/x
  3. Step 3: Cross multiply
    302,626.13x = 483,463.69 × 483,463.69
  4. Step 4: Simplify right side
    302,626.13x = 233,737,137,131.10
  5. Step 5: Solve for x
    x = 233,737,137,131.10/302,626.13
  6. Step 6: Final answer
    x = 772,362.72

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.