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Finding the Third Proportional to 333,463.50 and 730,174.50

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Solution

The third proportional to 333,463.50 and 730,174.50 is: 1,598,840.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,463.50 : 730,174.50 = 730,174.50 : x
  2. Step 2: Convert to fraction form
    333,463.50/730,174.50 = 730,174.50/x
  3. Step 3: Cross multiply
    333,463.50x = 730,174.50 × 730,174.50
  4. Step 4: Simplify right side
    333,463.50x = 533,154,800,450.25
  5. Step 5: Solve for x
    x = 533,154,800,450.25/333,463.50
  6. Step 6: Final answer
    x = 1,598,840.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.