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Finding the Third Proportional to 437,865.75 and 947,698.31

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Solution

The third proportional to 437,865.75 and 947,698.31 is: 2,051,158.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,865.75 : 947,698.31 = 947,698.31 : x
  2. Step 2: Convert to fraction form
    437,865.75/947,698.31 = 947,698.31/x
  3. Step 3: Cross multiply
    437,865.75x = 947,698.31 × 947,698.31
  4. Step 4: Simplify right side
    437,865.75x = 898,132,091,515.35
  5. Step 5: Solve for x
    x = 898,132,091,515.35/437,865.75
  6. Step 6: Final answer
    x = 2,051,158.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.