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Finding the Third Proportional to 264,412 and 402,814

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Solution

The third proportional to 264,412 and 402,814 is: 613,660.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,412 : 402,814 = 402,814 : x
  2. Step 2: Convert to fraction form
    264,412/402,814 = 402,814/x
  3. Step 3: Cross multiply
    264,412x = 402,814 × 402,814
  4. Step 4: Simplify right side
    264,412x = 162,259,118,596
  5. Step 5: Solve for x
    x = 162,259,118,596/264,412
  6. Step 6: Final answer
    x = 613,660.19

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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.