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Finding the Third Proportional to 302,523 and 660,063

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Solution

The third proportional to 302,523 and 660,063 is: 1,440,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,523 : 660,063 = 660,063 : x
  2. Step 2: Convert to fraction form
    302,523/660,063 = 660,063/x
  3. Step 3: Cross multiply
    302,523x = 660,063 × 660,063
  4. Step 4: Simplify right side
    302,523x = 435,683,163,969
  5. Step 5: Solve for x
    x = 435,683,163,969/302,523
  6. Step 6: Final answer
    x = 1,440,165.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.