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Finding the Third Proportional to 299,097 and 459,735.75

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Solution

The third proportional to 299,097 and 459,735.75 is: 706,650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,097 : 459,735.75 = 459,735.75 : x
  2. Step 2: Convert to fraction form
    299,097/459,735.75 = 459,735.75/x
  3. Step 3: Cross multiply
    299,097x = 459,735.75 × 459,735.75
  4. Step 4: Simplify right side
    299,097x = 211,356,959,828.06
  5. Step 5: Solve for x
    x = 211,356,959,828.06/299,097
  6. Step 6: Final answer
    x = 706,650.22

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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.