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Finding the Third Proportional to 423,416 and 674,004

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Solution

The third proportional to 423,416 and 674,004 is: 1,072,896.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,416 : 674,004 = 674,004 : x
  2. Step 2: Convert to fraction form
    423,416/674,004 = 674,004/x
  3. Step 3: Cross multiply
    423,416x = 674,004 × 674,004
  4. Step 4: Simplify right side
    423,416x = 454,281,392,016
  5. Step 5: Solve for x
    x = 454,281,392,016/423,416
  6. Step 6: Final answer
    x = 1,072,896.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.