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Finding the Third Proportional to 301,642 and 663,058

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Solution

The third proportional to 301,642 and 663,058 is: 1,457,508.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,642 : 663,058 = 663,058 : x
  2. Step 2: Convert to fraction form
    301,642/663,058 = 663,058/x
  3. Step 3: Cross multiply
    301,642x = 663,058 × 663,058
  4. Step 4: Simplify right side
    301,642x = 439,645,911,364
  5. Step 5: Solve for x
    x = 439,645,911,364/301,642
  6. Step 6: Final answer
    x = 1,457,508.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.