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Finding the Third Proportional to 291,746 and 417,171

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Solution

The third proportional to 291,746 and 417,171 is: 596,517.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,746 : 417,171 = 417,171 : x
  2. Step 2: Convert to fraction form
    291,746/417,171 = 417,171/x
  3. Step 3: Cross multiply
    291,746x = 417,171 × 417,171
  4. Step 4: Simplify right side
    291,746x = 174,031,643,241
  5. Step 5: Solve for x
    x = 174,031,643,241/291,746
  6. Step 6: Final answer
    x = 596,517.67

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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.