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Finding the Third Proportional to 210,869 and 455,416

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Solution

The third proportional to 210,869 and 455,416 is: 983,566.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,869 : 455,416 = 455,416 : x
  2. Step 2: Convert to fraction form
    210,869/455,416 = 455,416/x
  3. Step 3: Cross multiply
    210,869x = 455,416 × 455,416
  4. Step 4: Simplify right side
    210,869x = 207,403,733,056
  5. Step 5: Solve for x
    x = 207,403,733,056/210,869
  6. Step 6: Final answer
    x = 983,566.73

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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.