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Finding the Third Proportional to 302,056 and 423,330

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Solution

The third proportional to 302,056 and 423,330 is: 593,294.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,056 : 423,330 = 423,330 : x
  2. Step 2: Convert to fraction form
    302,056/423,330 = 423,330/x
  3. Step 3: Cross multiply
    302,056x = 423,330 × 423,330
  4. Step 4: Simplify right side
    302,056x = 179,208,288,900
  5. Step 5: Solve for x
    x = 179,208,288,900/302,056
  6. Step 6: Final answer
    x = 593,294.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.