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Finding the Third Proportional to 202,823 and 469,518

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Solution

The third proportional to 202,823 and 469,518 is: 1,086,894.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,823 : 469,518 = 469,518 : x
  2. Step 2: Convert to fraction form
    202,823/469,518 = 469,518/x
  3. Step 3: Cross multiply
    202,823x = 469,518 × 469,518
  4. Step 4: Simplify right side
    202,823x = 220,447,152,324
  5. Step 5: Solve for x
    x = 220,447,152,324/202,823
  6. Step 6: Final answer
    x = 1,086,894.25

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.