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Finding the Third Proportional to 291,120 and 617,232

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Solution

The third proportional to 291,120 and 617,232 is: 1,308,653.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,120 : 617,232 = 617,232 : x
  2. Step 2: Convert to fraction form
    291,120/617,232 = 617,232/x
  3. Step 3: Cross multiply
    291,120x = 617,232 × 617,232
  4. Step 4: Simplify right side
    291,120x = 380,975,341,824
  5. Step 5: Solve for x
    x = 380,975,341,824/291,120
  6. Step 6: Final answer
    x = 1,308,653.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.