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Finding the Third Proportional to 211,317.50 and 455,926

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Solution

The third proportional to 211,317.50 and 455,926 is: 983,678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,317.50 : 455,926 = 455,926 : x
  2. Step 2: Convert to fraction form
    211,317.50/455,926 = 455,926/x
  3. Step 3: Cross multiply
    211,317.50x = 455,926 × 455,926
  4. Step 4: Simplify right side
    211,317.50x = 207,868,517,476
  5. Step 5: Solve for x
    x = 207,868,517,476/211,317.50
  6. Step 6: Final answer
    x = 983,678.67

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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.