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Finding the Third Proportional to 233,523 and 374,584.50

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Solution

The third proportional to 233,523 and 374,584.50 is: 600,855.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,523 : 374,584.50 = 374,584.50 : x
  2. Step 2: Convert to fraction form
    233,523/374,584.50 = 374,584.50/x
  3. Step 3: Cross multiply
    233,523x = 374,584.50 × 374,584.50
  4. Step 4: Simplify right side
    233,523x = 140,313,547,640.25
  5. Step 5: Solve for x
    x = 140,313,547,640.25/233,523
  6. Step 6: Final answer
    x = 600,855.37

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.