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Finding the Third Proportional to 380,292.50 and 584,588

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Solution

The third proportional to 380,292.50 and 584,588 is: 898,632.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,292.50 : 584,588 = 584,588 : x
  2. Step 2: Convert to fraction form
    380,292.50/584,588 = 584,588/x
  3. Step 3: Cross multiply
    380,292.50x = 584,588 × 584,588
  4. Step 4: Simplify right side
    380,292.50x = 341,743,129,744
  5. Step 5: Solve for x
    x = 341,743,129,744/380,292.50
  6. Step 6: Final answer
    x = 898,632.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.