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Finding the Third Proportional to 333,516 and 730,272

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Solution

The third proportional to 333,516 and 730,272 is: 1,599,015.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,516 : 730,272 = 730,272 : x
  2. Step 2: Convert to fraction form
    333,516/730,272 = 730,272/x
  3. Step 3: Cross multiply
    333,516x = 730,272 × 730,272
  4. Step 4: Simplify right side
    333,516x = 533,297,193,984
  5. Step 5: Solve for x
    x = 533,297,193,984/333,516
  6. Step 6: Final answer
    x = 1,599,015.32

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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.