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Finding the Third Proportional to 302,066 and 423,426

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Solution

The third proportional to 302,066 and 423,426 is: 593,544.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,066 : 423,426 = 423,426 : x
  2. Step 2: Convert to fraction form
    302,066/423,426 = 423,426/x
  3. Step 3: Cross multiply
    302,066x = 423,426 × 423,426
  4. Step 4: Simplify right side
    302,066x = 179,289,577,476
  5. Step 5: Solve for x
    x = 179,289,577,476/302,066
  6. Step 6: Final answer
    x = 593,544.38

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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.