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Finding the Third Proportional to 302,641 and 664,058

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Solution

The third proportional to 302,641 and 664,058 is: 1,457,082.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,641 : 664,058 = 664,058 : x
  2. Step 2: Convert to fraction form
    302,641/664,058 = 664,058/x
  3. Step 3: Cross multiply
    302,641x = 664,058 × 664,058
  4. Step 4: Simplify right side
    302,641x = 440,973,027,364
  5. Step 5: Solve for x
    x = 440,973,027,364/302,641
  6. Step 6: Final answer
    x = 1,457,082.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.