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Finding the Third Proportional to 306,103 and 482,630

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Solution

The third proportional to 306,103 and 482,630 is: 760,958.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,103 : 482,630 = 482,630 : x
  2. Step 2: Convert to fraction form
    306,103/482,630 = 482,630/x
  3. Step 3: Cross multiply
    306,103x = 482,630 × 482,630
  4. Step 4: Simplify right side
    306,103x = 232,931,716,900
  5. Step 5: Solve for x
    x = 232,931,716,900/306,103
  6. Step 6: Final answer
    x = 760,958.62

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.