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Finding the Third Proportional to 209,455 and 452,119

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Solution

The third proportional to 209,455 and 452,119 is: 975,921.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,455 : 452,119 = 452,119 : x
  2. Step 2: Convert to fraction form
    209,455/452,119 = 452,119/x
  3. Step 3: Cross multiply
    209,455x = 452,119 × 452,119
  4. Step 4: Simplify right side
    209,455x = 204,411,590,161
  5. Step 5: Solve for x
    x = 204,411,590,161/209,455
  6. Step 6: Final answer
    x = 975,921.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.