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Finding the Third Proportional to 264,674 and 624,707.50

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Solution

The third proportional to 264,674 and 624,707.50 is: 1,474,491.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,674 : 624,707.50 = 624,707.50 : x
  2. Step 2: Convert to fraction form
    264,674/624,707.50 = 624,707.50/x
  3. Step 3: Cross multiply
    264,674x = 624,707.50 × 624,707.50
  4. Step 4: Simplify right side
    264,674x = 390,259,460,556.25
  5. Step 5: Solve for x
    x = 390,259,460,556.25/264,674
  6. Step 6: Final answer
    x = 1,474,491.11

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.