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Finding the Third Proportional to 229,064 and 464,284

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Solution

The third proportional to 229,064 and 464,284 is: 941,045.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,064 : 464,284 = 464,284 : x
  2. Step 2: Convert to fraction form
    229,064/464,284 = 464,284/x
  3. Step 3: Cross multiply
    229,064x = 464,284 × 464,284
  4. Step 4: Simplify right side
    229,064x = 215,559,632,656
  5. Step 5: Solve for x
    x = 215,559,632,656/229,064
  6. Step 6: Final answer
    x = 941,045.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.