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Finding the Third Proportional to 302,046 and 423,401

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Solution

The third proportional to 302,046 and 423,401 is: 593,513.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,046 : 423,401 = 423,401 : x
  2. Step 2: Convert to fraction form
    302,046/423,401 = 423,401/x
  3. Step 3: Cross multiply
    302,046x = 423,401 × 423,401
  4. Step 4: Simplify right side
    302,046x = 179,268,406,801
  5. Step 5: Solve for x
    x = 179,268,406,801/302,046
  6. Step 6: Final answer
    x = 593,513.59

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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.