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Finding the Third Proportional to 209,271 and 452,076

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Solution

The third proportional to 209,271 and 452,076 is: 976,593.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,271 : 452,076 = 452,076 : x
  2. Step 2: Convert to fraction form
    209,271/452,076 = 452,076/x
  3. Step 3: Cross multiply
    209,271x = 452,076 × 452,076
  4. Step 4: Simplify right side
    209,271x = 204,372,709,776
  5. Step 5: Solve for x
    x = 204,372,709,776/209,271
  6. Step 6: Final answer
    x = 976,593.55

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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.