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Finding the Third Proportional to 233,948 and 334,560

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Solution

The third proportional to 233,948 and 334,560 is: 478,441.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,948 : 334,560 = 334,560 : x
  2. Step 2: Convert to fraction form
    233,948/334,560 = 334,560/x
  3. Step 3: Cross multiply
    233,948x = 334,560 × 334,560
  4. Step 4: Simplify right side
    233,948x = 111,930,393,600
  5. Step 5: Solve for x
    x = 111,930,393,600/233,948
  6. Step 6: Final answer
    x = 478,441.34

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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.