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Finding the Third Proportional to 333,802 and 742,235

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Solution

The third proportional to 333,802 and 742,235 is: 1,650,417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,802 : 742,235 = 742,235 : x
  2. Step 2: Convert to fraction form
    333,802/742,235 = 742,235/x
  3. Step 3: Cross multiply
    333,802x = 742,235 × 742,235
  4. Step 4: Simplify right side
    333,802x = 550,912,795,225
  5. Step 5: Solve for x
    x = 550,912,795,225/333,802
  6. Step 6: Final answer
    x = 1,650,417.90

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Why These Related Problems?

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