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Finding the Third Proportional to 264,776 and 370,380

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Solution

The third proportional to 264,776 and 370,380 is: 518,103.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,776 : 370,380 = 370,380 : x
  2. Step 2: Convert to fraction form
    264,776/370,380 = 370,380/x
  3. Step 3: Cross multiply
    264,776x = 370,380 × 370,380
  4. Step 4: Simplify right side
    264,776x = 137,181,344,400
  5. Step 5: Solve for x
    x = 137,181,344,400/264,776
  6. Step 6: Final answer
    x = 518,103.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.