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Finding the Third Proportional to 301,116.23 and 443,355.40

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Solution

The third proportional to 301,116.23 and 443,355.40 is: 652,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,116.23 : 443,355.40 = 443,355.40 : x
  2. Step 2: Convert to fraction form
    301,116.23/443,355.40 = 443,355.40/x
  3. Step 3: Cross multiply
    301,116.23x = 443,355.40 × 443,355.40
  4. Step 4: Simplify right side
    301,116.23x = 196,564,009,323.67
  5. Step 5: Solve for x
    x = 196,564,009,323.67/301,116.23
  6. Step 6: Final answer
    x = 652,784.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.