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Finding the Third Proportional to 229,506 and 379,274

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Solution

The third proportional to 229,506 and 379,274 is: 626,775.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,506 : 379,274 = 379,274 : x
  2. Step 2: Convert to fraction form
    229,506/379,274 = 379,274/x
  3. Step 3: Cross multiply
    229,506x = 379,274 × 379,274
  4. Step 4: Simplify right side
    229,506x = 143,848,767,076
  5. Step 5: Solve for x
    x = 143,848,767,076/229,506
  6. Step 6: Final answer
    x = 626,775.63

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.