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Finding the Third Proportional to 301,683.55 and 447,307.00

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Solution

The third proportional to 301,683.55 and 447,307.00 is: 663,223.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,683.55 : 447,307.00 = 447,307.00 : x
  2. Step 2: Convert to fraction form
    301,683.55/447,307.00 = 447,307.00/x
  3. Step 3: Cross multiply
    301,683.55x = 447,307.00 × 447,307.00
  4. Step 4: Simplify right side
    301,683.55x = 200,083,548,754.41
  5. Step 5: Solve for x
    x = 200,083,548,754.41/301,683.55
  6. Step 6: Final answer
    x = 663,223.26

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.