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Finding the Third Proportional to 333,483 and 730,212

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Solution

The third proportional to 333,483 and 730,212 is: 1,598,910.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,483 : 730,212 = 730,212 : x
  2. Step 2: Convert to fraction form
    333,483/730,212 = 730,212/x
  3. Step 3: Cross multiply
    333,483x = 730,212 × 730,212
  4. Step 4: Simplify right side
    333,483x = 533,209,564,944
  5. Step 5: Solve for x
    x = 533,209,564,944/333,483
  6. Step 6: Final answer
    x = 1,598,910.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.