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Finding the Third Proportional to 302,058 and 423,330.75

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Solution

The third proportional to 302,058 and 423,330.75 is: 593,293.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,058 : 423,330.75 = 423,330.75 : x
  2. Step 2: Convert to fraction form
    302,058/423,330.75 = 423,330.75/x
  3. Step 3: Cross multiply
    302,058x = 423,330.75 × 423,330.75
  4. Step 4: Simplify right side
    302,058x = 179,208,923,895.56
  5. Step 5: Solve for x
    x = 179,208,923,895.56/302,058
  6. Step 6: Final answer
    x = 593,293.09

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.