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Finding the Third Proportional to 724,396.50 and 1,146,794.63

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Solution

The third proportional to 724,396.50 and 1,146,794.63 is: 1,815,494.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,396.50 : 1,146,794.63 = 1,146,794.63 : x
  2. Step 2: Convert to fraction form
    724,396.50/1,146,794.63 = 1,146,794.63/x
  3. Step 3: Cross multiply
    724,396.50x = 1,146,794.63 × 1,146,794.63
  4. Step 4: Simplify right side
    724,396.50x = 1,315,137,911,928.89
  5. Step 5: Solve for x
    x = 1,315,137,911,928.89/724,396.50
  6. Step 6: Final answer
    x = 1,815,494.57

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Why These Related Problems?

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