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Finding the Third Proportional to 370,072 and 792,612

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Solution

The third proportional to 370,072 and 792,612 is: 1,697,598.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,072 : 792,612 = 792,612 : x
  2. Step 2: Convert to fraction form
    370,072/792,612 = 792,612/x
  3. Step 3: Cross multiply
    370,072x = 792,612 × 792,612
  4. Step 4: Simplify right side
    370,072x = 628,233,782,544
  5. Step 5: Solve for x
    x = 628,233,782,544/370,072
  6. Step 6: Final answer
    x = 1,697,598.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.