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Finding the Third Proportional to 233,969 and 334,588

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Solution

The third proportional to 233,969 and 334,588 is: 478,478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,969 : 334,588 = 334,588 : x
  2. Step 2: Convert to fraction form
    233,969/334,588 = 334,588/x
  3. Step 3: Cross multiply
    233,969x = 334,588 × 334,588
  4. Step 4: Simplify right side
    233,969x = 111,949,129,744
  5. Step 5: Solve for x
    x = 111,949,129,744/233,969
  6. Step 6: Final answer
    x = 478,478.47

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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.