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Finding the Third Proportional to 371,886 and 590,985

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Solution

The third proportional to 371,886 and 590,985 is: 939,167.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,886 : 590,985 = 590,985 : x
  2. Step 2: Convert to fraction form
    371,886/590,985 = 590,985/x
  3. Step 3: Cross multiply
    371,886x = 590,985 × 590,985
  4. Step 4: Simplify right side
    371,886x = 349,263,270,225
  5. Step 5: Solve for x
    x = 349,263,270,225/371,886
  6. Step 6: Final answer
    x = 939,167.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.