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Finding the Third Proportional to 442,968.75 and 967,140

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Solution

The third proportional to 442,968.75 and 967,140 is: 2,111,570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,968.75 : 967,140 = 967,140 : x
  2. Step 2: Convert to fraction form
    442,968.75/967,140 = 967,140/x
  3. Step 3: Cross multiply
    442,968.75x = 967,140 × 967,140
  4. Step 4: Simplify right side
    442,968.75x = 935,359,779,600
  5. Step 5: Solve for x
    x = 935,359,779,600/442,968.75
  6. Step 6: Final answer
    x = 2,111,570.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.