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Finding the Third Proportional to 443,420.44 and 676,202.06

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Solution

The third proportional to 443,420.44 and 676,202.06 is: 1,031,186.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,420.44 : 676,202.06 = 676,202.06 : x
  2. Step 2: Convert to fraction form
    443,420.44/676,202.06 = 676,202.06/x
  3. Step 3: Cross multiply
    443,420.44x = 676,202.06 × 676,202.06
  4. Step 4: Simplify right side
    443,420.44x = 457,249,229,329.25
  5. Step 5: Solve for x
    x = 457,249,229,329.25/443,420.44
  6. Step 6: Final answer
    x = 1,031,186.64

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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.