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Finding the Third Proportional to 296,742 and 659,820

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Solution

The third proportional to 296,742 and 659,820 is: 1,467,141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,742 : 659,820 = 659,820 : x
  2. Step 2: Convert to fraction form
    296,742/659,820 = 659,820/x
  3. Step 3: Cross multiply
    296,742x = 659,820 × 659,820
  4. Step 4: Simplify right side
    296,742x = 435,362,432,400
  5. Step 5: Solve for x
    x = 435,362,432,400/296,742
  6. Step 6: Final answer
    x = 1,467,141.26

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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.