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Finding the Third Proportional to 213,099 and 459,408

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Solution

The third proportional to 213,099 and 459,408 is: 990,411.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,099 : 459,408 = 459,408 : x
  2. Step 2: Convert to fraction form
    213,099/459,408 = 459,408/x
  3. Step 3: Cross multiply
    213,099x = 459,408 × 459,408
  4. Step 4: Simplify right side
    213,099x = 211,055,710,464
  5. Step 5: Solve for x
    x = 211,055,710,464/213,099
  6. Step 6: Final answer
    x = 990,411.55

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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.