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Finding the Third Proportional to 295,612 and 660,114

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Solution

The third proportional to 295,612 and 660,114 is: 1,474,062.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,612 : 660,114 = 660,114 : x
  2. Step 2: Convert to fraction form
    295,612/660,114 = 660,114/x
  3. Step 3: Cross multiply
    295,612x = 660,114 × 660,114
  4. Step 4: Simplify right side
    295,612x = 435,750,492,996
  5. Step 5: Solve for x
    x = 435,750,492,996/295,612
  6. Step 6: Final answer
    x = 1,474,062.26

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.