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Finding the Third Proportional to 237,205 and 510,678

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Solution

The third proportional to 237,205 and 510,678 is: 1,099,437.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,205 : 510,678 = 510,678 : x
  2. Step 2: Convert to fraction form
    237,205/510,678 = 510,678/x
  3. Step 3: Cross multiply
    237,205x = 510,678 × 510,678
  4. Step 4: Simplify right side
    237,205x = 260,792,019,684
  5. Step 5: Solve for x
    x = 260,792,019,684/237,205
  6. Step 6: Final answer
    x = 1,099,437.28

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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.