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Finding the Third Proportional to 375,504 and 581,083

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Solution

The third proportional to 375,504 and 581,083 is: 899,211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,504 : 581,083 = 581,083 : x
  2. Step 2: Convert to fraction form
    375,504/581,083 = 581,083/x
  3. Step 3: Cross multiply
    375,504x = 581,083 × 581,083
  4. Step 4: Simplify right side
    375,504x = 337,657,452,889
  5. Step 5: Solve for x
    x = 337,657,452,889/375,504
  6. Step 6: Final answer
    x = 899,211.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.