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Finding the Third Proportional to 302,310 and 659,056

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Solution

The third proportional to 302,310 and 659,056 is: 1,436,786.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,310 : 659,056 = 659,056 : x
  2. Step 2: Convert to fraction form
    302,310/659,056 = 659,056/x
  3. Step 3: Cross multiply
    302,310x = 659,056 × 659,056
  4. Step 4: Simplify right side
    302,310x = 434,354,811,136
  5. Step 5: Solve for x
    x = 434,354,811,136/302,310
  6. Step 6: Final answer
    x = 1,436,786.12

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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.