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Finding the Third Proportional to 443,765.25 and 972,004.50

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Solution

The third proportional to 443,765.25 and 972,004.50 is: 2,129,037.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,765.25 : 972,004.50 = 972,004.50 : x
  2. Step 2: Convert to fraction form
    443,765.25/972,004.50 = 972,004.50/x
  3. Step 3: Cross multiply
    443,765.25x = 972,004.50 × 972,004.50
  4. Step 4: Simplify right side
    443,765.25x = 944,792,748,020.25
  5. Step 5: Solve for x
    x = 944,792,748,020.25/443,765.25
  6. Step 6: Final answer
    x = 2,129,037.25

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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.