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Finding the Third Proportional to 374,000 and 770,052

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Solution

The third proportional to 374,000 and 770,052 is: 1,585,508.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,000 : 770,052 = 770,052 : x
  2. Step 2: Convert to fraction form
    374,000/770,052 = 770,052/x
  3. Step 3: Cross multiply
    374,000x = 770,052 × 770,052
  4. Step 4: Simplify right side
    374,000x = 592,980,082,704
  5. Step 5: Solve for x
    x = 592,980,082,704/374,000
  6. Step 6: Final answer
    x = 1,585,508.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.