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Finding the Third Proportional to 318,948 and 513,900

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Solution

The third proportional to 318,948 and 513,900 is: 828,013.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,948 : 513,900 = 513,900 : x
  2. Step 2: Convert to fraction form
    318,948/513,900 = 513,900/x
  3. Step 3: Cross multiply
    318,948x = 513,900 × 513,900
  4. Step 4: Simplify right side
    318,948x = 264,093,210,000
  5. Step 5: Solve for x
    x = 264,093,210,000/318,948
  6. Step 6: Final answer
    x = 828,013.38

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.