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Finding the Third Proportional to 333,799 and 742,229

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Solution

The third proportional to 333,799 and 742,229 is: 1,650,406.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,799 : 742,229 = 742,229 : x
  2. Step 2: Convert to fraction form
    333,799/742,229 = 742,229/x
  3. Step 3: Cross multiply
    333,799x = 742,229 × 742,229
  4. Step 4: Simplify right side
    333,799x = 550,903,888,441
  5. Step 5: Solve for x
    x = 550,903,888,441/333,799
  6. Step 6: Final answer
    x = 1,650,406.05

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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.