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Finding the Third Proportional to 302,965 and 469,758

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Solution

The third proportional to 302,965 and 469,758 is: 728,376.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,965 : 469,758 = 469,758 : x
  2. Step 2: Convert to fraction form
    302,965/469,758 = 469,758/x
  3. Step 3: Cross multiply
    302,965x = 469,758 × 469,758
  4. Step 4: Simplify right side
    302,965x = 220,672,578,564
  5. Step 5: Solve for x
    x = 220,672,578,564/302,965
  6. Step 6: Final answer
    x = 728,376.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.