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Finding the Third Proportional to 259,097 and 562,455

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Solution

The third proportional to 259,097 and 562,455 is: 1,220,993.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,097 : 562,455 = 562,455 : x
  2. Step 2: Convert to fraction form
    259,097/562,455 = 562,455/x
  3. Step 3: Cross multiply
    259,097x = 562,455 × 562,455
  4. Step 4: Simplify right side
    259,097x = 316,355,627,025
  5. Step 5: Solve for x
    x = 316,355,627,025/259,097
  6. Step 6: Final answer
    x = 1,220,993.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.