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Finding the Third Proportional to 302,282 and 659,958

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Solution

The third proportional to 302,282 and 659,958 is: 1,440,855.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,282 : 659,958 = 659,958 : x
  2. Step 2: Convert to fraction form
    302,282/659,958 = 659,958/x
  3. Step 3: Cross multiply
    302,282x = 659,958 × 659,958
  4. Step 4: Simplify right side
    302,282x = 435,544,561,764
  5. Step 5: Solve for x
    x = 435,544,561,764/302,282
  6. Step 6: Final answer
    x = 1,440,855.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.