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Finding the Third Proportional to 296,823 and 660,084

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Solution

The third proportional to 296,823 and 660,084 is: 1,467,914.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,823 : 660,084 = 660,084 : x
  2. Step 2: Convert to fraction form
    296,823/660,084 = 660,084/x
  3. Step 3: Cross multiply
    296,823x = 660,084 × 660,084
  4. Step 4: Simplify right side
    296,823x = 435,710,887,056
  5. Step 5: Solve for x
    x = 435,710,887,056/296,823
  6. Step 6: Final answer
    x = 1,467,914.84

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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.