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Finding the Third Proportional to 333,818 and 742,269

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Solution

The third proportional to 333,818 and 742,269 is: 1,650,489.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,818 : 742,269 = 742,269 : x
  2. Step 2: Convert to fraction form
    333,818/742,269 = 742,269/x
  3. Step 3: Cross multiply
    333,818x = 742,269 × 742,269
  4. Step 4: Simplify right side
    333,818x = 550,963,268,361
  5. Step 5: Solve for x
    x = 550,963,268,361/333,818
  6. Step 6: Final answer
    x = 1,650,489.99

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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.