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Finding the Third Proportional to 202,981 and 459,097

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Solution

The third proportional to 202,981 and 459,097 is: 1,038,373.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,981 : 459,097 = 459,097 : x
  2. Step 2: Convert to fraction form
    202,981/459,097 = 459,097/x
  3. Step 3: Cross multiply
    202,981x = 459,097 × 459,097
  4. Step 4: Simplify right side
    202,981x = 210,770,055,409
  5. Step 5: Solve for x
    x = 210,770,055,409/202,981
  6. Step 6: Final answer
    x = 1,038,373.32

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.