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Finding the Third Proportional to 296,825 and 660,088

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Solution

The third proportional to 296,825 and 660,088 is: 1,467,922.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,825 : 660,088 = 660,088 : x
  2. Step 2: Convert to fraction form
    296,825/660,088 = 660,088/x
  3. Step 3: Cross multiply
    296,825x = 660,088 × 660,088
  4. Step 4: Simplify right side
    296,825x = 435,716,167,744
  5. Step 5: Solve for x
    x = 435,716,167,744/296,825
  6. Step 6: Final answer
    x = 1,467,922.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.