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Finding the Third Proportional to 333,153 and 490,981.50

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Solution

The third proportional to 333,153 and 490,981.50 is: 723,579.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,153 : 490,981.50 = 490,981.50 : x
  2. Step 2: Convert to fraction form
    333,153/490,981.50 = 490,981.50/x
  3. Step 3: Cross multiply
    333,153x = 490,981.50 × 490,981.50
  4. Step 4: Simplify right side
    333,153x = 241,062,833,342.25
  5. Step 5: Solve for x
    x = 241,062,833,342.25/333,153
  6. Step 6: Final answer
    x = 723,579.96

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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.