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Finding the Third Proportional to 209,403 and 465,246

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Solution

The third proportional to 209,403 and 465,246 is: 1,033,671.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,403 : 465,246 = 465,246 : x
  2. Step 2: Convert to fraction form
    209,403/465,246 = 465,246/x
  3. Step 3: Cross multiply
    209,403x = 465,246 × 465,246
  4. Step 4: Simplify right side
    209,403x = 216,453,840,516
  5. Step 5: Solve for x
    x = 216,453,840,516/209,403
  6. Step 6: Final answer
    x = 1,033,671.15

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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.