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Finding the Third Proportional to 324,004 and 706,490

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Solution

The third proportional to 324,004 and 706,490 is: 1,540,499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,004 : 706,490 = 706,490 : x
  2. Step 2: Convert to fraction form
    324,004/706,490 = 706,490/x
  3. Step 3: Cross multiply
    324,004x = 706,490 × 706,490
  4. Step 4: Simplify right side
    324,004x = 499,128,120,100
  5. Step 5: Solve for x
    x = 499,128,120,100/324,004
  6. Step 6: Final answer
    x = 1,540,499.87

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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.