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Finding the Third Proportional to 213,127 and 459,494

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Solution

The third proportional to 213,127 and 459,494 is: 990,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,127 : 459,494 = 459,494 : x
  2. Step 2: Convert to fraction form
    213,127/459,494 = 459,494/x
  3. Step 3: Cross multiply
    213,127x = 459,494 × 459,494
  4. Step 4: Simplify right side
    213,127x = 211,134,736,036
  5. Step 5: Solve for x
    x = 211,134,736,036/213,127
  6. Step 6: Final answer
    x = 990,652.22

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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.