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Finding the Third Proportional to 292,119 and 441,339

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Solution

The third proportional to 292,119 and 441,339 is: 666,783.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,119 : 441,339 = 441,339 : x
  2. Step 2: Convert to fraction form
    292,119/441,339 = 441,339/x
  3. Step 3: Cross multiply
    292,119x = 441,339 × 441,339
  4. Step 4: Simplify right side
    292,119x = 194,780,112,921
  5. Step 5: Solve for x
    x = 194,780,112,921/292,119
  6. Step 6: Final answer
    x = 666,783.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.