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Finding the Third Proportional to 214,277.63 and 460,803.38

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Solution

The third proportional to 214,277.63 and 460,803.38 is: 990,956.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,277.63 : 460,803.38 = 460,803.38 : x
  2. Step 2: Convert to fraction form
    214,277.63/460,803.38 = 460,803.38/x
  3. Step 3: Cross multiply
    214,277.63x = 460,803.38 × 460,803.38
  4. Step 4: Simplify right side
    214,277.63x = 212,339,750,411.39
  5. Step 5: Solve for x
    x = 212,339,750,411.39/214,277.63
  6. Step 6: Final answer
    x = 990,956.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.