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Finding the Third Proportional to 443,658.75 and 968,398.50

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Solution

The third proportional to 443,658.75 and 968,398.50 is: 2,113,776.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,658.75 : 968,398.50 = 968,398.50 : x
  2. Step 2: Convert to fraction form
    443,658.75/968,398.50 = 968,398.50/x
  3. Step 3: Cross multiply
    443,658.75x = 968,398.50 × 968,398.50
  4. Step 4: Simplify right side
    443,658.75x = 937,795,654,802.25
  5. Step 5: Solve for x
    x = 937,795,654,802.25/443,658.75
  6. Step 6: Final answer
    x = 2,113,776.98

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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.