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Finding the Third Proportional to 333,486 and 730,530

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Solution

The third proportional to 333,486 and 730,530 is: 1,600,289.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,486 : 730,530 = 730,530 : x
  2. Step 2: Convert to fraction form
    333,486/730,530 = 730,530/x
  3. Step 3: Cross multiply
    333,486x = 730,530 × 730,530
  4. Step 4: Simplify right side
    333,486x = 533,674,080,900
  5. Step 5: Solve for x
    x = 533,674,080,900/333,486
  6. Step 6: Final answer
    x = 1,600,289.31

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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.