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Finding the Third Proportional to 210,922 and 455,526

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Solution

The third proportional to 210,922 and 455,526 is: 983,794.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,922 : 455,526 = 455,526 : x
  2. Step 2: Convert to fraction form
    210,922/455,526 = 455,526/x
  3. Step 3: Cross multiply
    210,922x = 455,526 × 455,526
  4. Step 4: Simplify right side
    210,922x = 207,503,936,676
  5. Step 5: Solve for x
    x = 207,503,936,676/210,922
  6. Step 6: Final answer
    x = 983,794.66

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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.