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Finding the Third Proportional to 264,788 and 370,398

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Solution

The third proportional to 264,788 and 370,398 is: 518,130.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,788 : 370,398 = 370,398 : x
  2. Step 2: Convert to fraction form
    264,788/370,398 = 370,398/x
  3. Step 3: Cross multiply
    264,788x = 370,398 × 370,398
  4. Step 4: Simplify right side
    264,788x = 137,194,678,404
  5. Step 5: Solve for x
    x = 137,194,678,404/264,788
  6. Step 6: Final answer
    x = 518,130.27

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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.