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Finding the Third Proportional to 371,427.19 and 590,842.69

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Solution

The third proportional to 371,427.19 and 590,842.69 is: 939,874.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,427.19 : 590,842.69 = 590,842.69 : x
  2. Step 2: Convert to fraction form
    371,427.19/590,842.69 = 590,842.69/x
  3. Step 3: Cross multiply
    371,427.19x = 590,842.69 × 590,842.69
  4. Step 4: Simplify right side
    371,427.19x = 349,095,081,372.22
  5. Step 5: Solve for x
    x = 349,095,081,372.22/371,427.19
  6. Step 6: Final answer
    x = 939,874.87

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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.