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Finding the Third Proportional to 399,963 and 562,519.50

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Solution

The third proportional to 399,963 and 562,519.50 is: 791,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,963 : 562,519.50 = 562,519.50 : x
  2. Step 2: Convert to fraction form
    399,963/562,519.50 = 562,519.50/x
  3. Step 3: Cross multiply
    399,963x = 562,519.50 × 562,519.50
  4. Step 4: Simplify right side
    399,963x = 316,428,187,880.25
  5. Step 5: Solve for x
    x = 316,428,187,880.25/399,963
  6. Step 6: Final answer
    x = 791,143.65

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.