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Finding the Third Proportional to 292,207 and 437,134

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Solution

The third proportional to 292,207 and 437,134 is: 653,940.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,207 : 437,134 = 437,134 : x
  2. Step 2: Convert to fraction form
    292,207/437,134 = 437,134/x
  3. Step 3: Cross multiply
    292,207x = 437,134 × 437,134
  4. Step 4: Simplify right side
    292,207x = 191,086,133,956
  5. Step 5: Solve for x
    x = 191,086,133,956/292,207
  6. Step 6: Final answer
    x = 653,940.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.