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Finding the Third Proportional to 302,712 and 454,068

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Solution

The third proportional to 302,712 and 454,068 is: 681,102

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,712 : 454,068 = 454,068 : x
  2. Step 2: Convert to fraction form
    302,712/454,068 = 454,068/x
  3. Step 3: Cross multiply
    302,712x = 454,068 × 454,068
  4. Step 4: Simplify right side
    302,712x = 206,177,748,624
  5. Step 5: Solve for x
    x = 206,177,748,624/302,712
  6. Step 6: Final answer
    x = 681,102

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.