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Finding the Third Proportional to 401,454 and 605,583

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Solution

The third proportional to 401,454 and 605,583 is: 913,506.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,454 : 605,583 = 605,583 : x
  2. Step 2: Convert to fraction form
    401,454/605,583 = 605,583/x
  3. Step 3: Cross multiply
    401,454x = 605,583 × 605,583
  4. Step 4: Simplify right side
    401,454x = 366,730,769,889
  5. Step 5: Solve for x
    x = 366,730,769,889/401,454
  6. Step 6: Final answer
    x = 913,506.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.