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Finding the Third Proportional to 333,816 and 742,264.50

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Solution

The third proportional to 333,816 and 742,264.50 is: 1,650,479.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,816 : 742,264.50 = 742,264.50 : x
  2. Step 2: Convert to fraction form
    333,816/742,264.50 = 742,264.50/x
  3. Step 3: Cross multiply
    333,816x = 742,264.50 × 742,264.50
  4. Step 4: Simplify right side
    333,816x = 550,956,587,960.25
  5. Step 5: Solve for x
    x = 550,956,587,960.25/333,816
  6. Step 6: Final answer
    x = 1,650,479.87

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.