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Finding the Third Proportional to 212,600.95 and 459,022.36

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Solution

The third proportional to 212,600.95 and 459,022.36 is: 991,065.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,600.95 : 459,022.36 = 459,022.36 : x
  2. Step 2: Convert to fraction form
    212,600.95/459,022.36 = 459,022.36/x
  3. Step 3: Cross multiply
    212,600.95x = 459,022.36 × 459,022.36
  4. Step 4: Simplify right side
    212,600.95x = 210,701,526,406.19
  5. Step 5: Solve for x
    x = 210,701,526,406.19/212,600.95
  6. Step 6: Final answer
    x = 991,065.77

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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.