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Finding the Third Proportional to 264,370 and 376,869

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Solution

The third proportional to 264,370 and 376,869 is: 537,240.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,370 : 376,869 = 376,869 : x
  2. Step 2: Convert to fraction form
    264,370/376,869 = 376,869/x
  3. Step 3: Cross multiply
    264,370x = 376,869 × 376,869
  4. Step 4: Simplify right side
    264,370x = 142,030,243,161
  5. Step 5: Solve for x
    x = 142,030,243,161/264,370
  6. Step 6: Final answer
    x = 537,240.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.