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Finding the Third Proportional to 426,984 and 654,948

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Solution

The third proportional to 426,984 and 654,948 is: 1,004,620.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,984 : 654,948 = 654,948 : x
  2. Step 2: Convert to fraction form
    426,984/654,948 = 654,948/x
  3. Step 3: Cross multiply
    426,984x = 654,948 × 654,948
  4. Step 4: Simplify right side
    426,984x = 428,956,882,704
  5. Step 5: Solve for x
    x = 428,956,882,704/426,984
  6. Step 6: Final answer
    x = 1,004,620.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.