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Finding the Third Proportional to 370,406 and 570,993

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Solution

The third proportional to 370,406 and 570,993 is: 880,204.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,406 : 570,993 = 570,993 : x
  2. Step 2: Convert to fraction form
    370,406/570,993 = 570,993/x
  3. Step 3: Cross multiply
    370,406x = 570,993 × 570,993
  4. Step 4: Simplify right side
    370,406x = 326,033,006,049
  5. Step 5: Solve for x
    x = 326,033,006,049/370,406
  6. Step 6: Final answer
    x = 880,204.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.