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Finding the Third Proportional to 301,020.75 and 658,012.50

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Solution

The third proportional to 301,020.75 and 658,012.50 is: 1,438,374.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,020.75 : 658,012.50 = 658,012.50 : x
  2. Step 2: Convert to fraction form
    301,020.75/658,012.50 = 658,012.50/x
  3. Step 3: Cross multiply
    301,020.75x = 658,012.50 × 658,012.50
  4. Step 4: Simplify right side
    301,020.75x = 432,980,450,156.25
  5. Step 5: Solve for x
    x = 432,980,450,156.25/301,020.75
  6. Step 6: Final answer
    x = 1,438,374.10

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.