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Finding the Third Proportional to 714,159 and 947,794.50

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Solution

The third proportional to 714,159 and 947,794.50 is: 1,257,863.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,159 : 947,794.50 = 947,794.50 : x
  2. Step 2: Convert to fraction form
    714,159/947,794.50 = 947,794.50/x
  3. Step 3: Cross multiply
    714,159x = 947,794.50 × 947,794.50
  4. Step 4: Simplify right side
    714,159x = 898,314,414,230.25
  5. Step 5: Solve for x
    x = 898,314,414,230.25/714,159
  6. Step 6: Final answer
    x = 1,257,863.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.