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Finding the Third Proportional to 264,271 and 408,071

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Solution

The third proportional to 264,271 and 408,071 is: 630,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,271 : 408,071 = 408,071 : x
  2. Step 2: Convert to fraction form
    264,271/408,071 = 408,071/x
  3. Step 3: Cross multiply
    264,271x = 408,071 × 408,071
  4. Step 4: Simplify right side
    264,271x = 166,521,941,041
  5. Step 5: Solve for x
    x = 166,521,941,041/264,271
  6. Step 6: Final answer
    x = 630,118.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.