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Finding the Third Proportional to 299,097 and 459,731

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Solution

The third proportional to 299,097 and 459,731 is: 706,635.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,097 : 459,731 = 459,731 : x
  2. Step 2: Convert to fraction form
    299,097/459,731 = 459,731/x
  3. Step 3: Cross multiply
    299,097x = 459,731 × 459,731
  4. Step 4: Simplify right side
    299,097x = 211,352,592,361
  5. Step 5: Solve for x
    x = 211,352,592,361/299,097
  6. Step 6: Final answer
    x = 706,635.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.