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Finding the Third Proportional to 209,406 and 465,252

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Solution

The third proportional to 209,406 and 465,252 is: 1,033,683.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,406 : 465,252 = 465,252 : x
  2. Step 2: Convert to fraction form
    209,406/465,252 = 465,252/x
  3. Step 3: Cross multiply
    209,406x = 465,252 × 465,252
  4. Step 4: Simplify right side
    209,406x = 216,459,423,504
  5. Step 5: Solve for x
    x = 216,459,423,504/209,406
  6. Step 6: Final answer
    x = 1,033,683.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.