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Finding the Third Proportional to 255,922.50 and 598,071

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Solution

The third proportional to 255,922.50 and 598,071 is: 1,397,645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,922.50 : 598,071 = 598,071 : x
  2. Step 2: Convert to fraction form
    255,922.50/598,071 = 598,071/x
  3. Step 3: Cross multiply
    255,922.50x = 598,071 × 598,071
  4. Step 4: Simplify right side
    255,922.50x = 357,688,921,041
  5. Step 5: Solve for x
    x = 357,688,921,041/255,922.50
  6. Step 6: Final answer
    x = 1,397,645.46

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.