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Finding the Third Proportional to 209,655 and 452,682

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Solution

The third proportional to 209,655 and 452,682 is: 977,420.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,655 : 452,682 = 452,682 : x
  2. Step 2: Convert to fraction form
    209,655/452,682 = 452,682/x
  3. Step 3: Cross multiply
    209,655x = 452,682 × 452,682
  4. Step 4: Simplify right side
    209,655x = 204,920,993,124
  5. Step 5: Solve for x
    x = 204,920,993,124/209,655
  6. Step 6: Final answer
    x = 977,420.01

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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.