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Finding the Third Proportional to 264,570 and 378,188

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Solution

The third proportional to 264,570 and 378,188 is: 540,598.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,570 : 378,188 = 378,188 : x
  2. Step 2: Convert to fraction form
    264,570/378,188 = 378,188/x
  3. Step 3: Cross multiply
    264,570x = 378,188 × 378,188
  4. Step 4: Simplify right side
    264,570x = 143,026,163,344
  5. Step 5: Solve for x
    x = 143,026,163,344/264,570
  6. Step 6: Final answer
    x = 540,598.57

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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.