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Finding the Third Proportional to 333,824 and 742,280

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Solution

The third proportional to 333,824 and 742,280 is: 1,650,509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,824 : 742,280 = 742,280 : x
  2. Step 2: Convert to fraction form
    333,824/742,280 = 742,280/x
  3. Step 3: Cross multiply
    333,824x = 742,280 × 742,280
  4. Step 4: Simplify right side
    333,824x = 550,979,598,400
  5. Step 5: Solve for x
    x = 550,979,598,400/333,824
  6. Step 6: Final answer
    x = 1,650,509.25

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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.