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Finding the Third Proportional to 443,435.25 and 972,712.50

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Solution

The third proportional to 443,435.25 and 972,712.50 is: 2,133,726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,435.25 : 972,712.50 = 972,712.50 : x
  2. Step 2: Convert to fraction form
    443,435.25/972,712.50 = 972,712.50/x
  3. Step 3: Cross multiply
    443,435.25x = 972,712.50 × 972,712.50
  4. Step 4: Simplify right side
    443,435.25x = 946,169,607,656.25
  5. Step 5: Solve for x
    x = 946,169,607,656.25/443,435.25
  6. Step 6: Final answer
    x = 2,133,726.64

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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.