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Finding the Third Proportional to 489,748.75 and 742,029.75

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Solution

The third proportional to 489,748.75 and 742,029.75 is: 1,124,266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,748.75 : 742,029.75 = 742,029.75 : x
  2. Step 2: Convert to fraction form
    489,748.75/742,029.75 = 742,029.75/x
  3. Step 3: Cross multiply
    489,748.75x = 742,029.75 × 742,029.75
  4. Step 4: Simplify right side
    489,748.75x = 550,608,149,885.06
  5. Step 5: Solve for x
    x = 550,608,149,885.06/489,748.75
  6. Step 6: Final answer
    x = 1,124,266.58

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.