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Finding the Third Proportional to 462,696.75 and 630,344.25

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Solution

The third proportional to 462,696.75 and 630,344.25 is: 858,734.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,696.75 : 630,344.25 = 630,344.25 : x
  2. Step 2: Convert to fraction form
    462,696.75/630,344.25 = 630,344.25/x
  3. Step 3: Cross multiply
    462,696.75x = 630,344.25 × 630,344.25
  4. Step 4: Simplify right side
    462,696.75x = 397,333,873,508.06
  5. Step 5: Solve for x
    x = 397,333,873,508.06/462,696.75
  6. Step 6: Final answer
    x = 858,734.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.