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Finding the Third Proportional to 403,211 and 595,623

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Solution

The third proportional to 403,211 and 595,623 is: 879,853.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,211 : 595,623 = 595,623 : x
  2. Step 2: Convert to fraction form
    403,211/595,623 = 595,623/x
  3. Step 3: Cross multiply
    403,211x = 595,623 × 595,623
  4. Step 4: Simplify right side
    403,211x = 354,766,758,129
  5. Step 5: Solve for x
    x = 354,766,758,129/403,211
  6. Step 6: Final answer
    x = 879,853.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.