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Finding the Third Proportional to 209,526 and 452,252

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Solution

The third proportional to 209,526 and 452,252 is: 976,164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,526 : 452,252 = 452,252 : x
  2. Step 2: Convert to fraction form
    209,526/452,252 = 452,252/x
  3. Step 3: Cross multiply
    209,526x = 452,252 × 452,252
  4. Step 4: Simplify right side
    209,526x = 204,531,871,504
  5. Step 5: Solve for x
    x = 204,531,871,504/209,526
  6. Step 6: Final answer
    x = 976,164.64

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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.