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Finding the Third Proportional to 262,828 and 399,436

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Solution

The third proportional to 262,828 and 399,436 is: 607,047.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,828 : 399,436 = 399,436 : x
  2. Step 2: Convert to fraction form
    262,828/399,436 = 399,436/x
  3. Step 3: Cross multiply
    262,828x = 399,436 × 399,436
  4. Step 4: Simplify right side
    262,828x = 159,549,118,096
  5. Step 5: Solve for x
    x = 159,549,118,096/262,828
  6. Step 6: Final answer
    x = 607,047.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.