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Finding the Third Proportional to 595,172.81 and 850,758.19

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Solution

The third proportional to 595,172.81 and 850,758.19 is: 1,216,099.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,172.81 : 850,758.19 = 850,758.19 : x
  2. Step 2: Convert to fraction form
    595,172.81/850,758.19 = 850,758.19/x
  3. Step 3: Cross multiply
    595,172.81x = 850,758.19 × 850,758.19
  4. Step 4: Simplify right side
    595,172.81x = 723,789,493,598.29
  5. Step 5: Solve for x
    x = 723,789,493,598.29/595,172.81
  6. Step 6: Final answer
    x = 1,216,099.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.