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Finding the Third Proportional to 482,786 and 730,393

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Solution

The third proportional to 482,786 and 730,393 is: 1,104,990.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,786 : 730,393 = 730,393 : x
  2. Step 2: Convert to fraction form
    482,786/730,393 = 730,393/x
  3. Step 3: Cross multiply
    482,786x = 730,393 × 730,393
  4. Step 4: Simplify right side
    482,786x = 533,473,934,449
  5. Step 5: Solve for x
    x = 533,473,934,449/482,786
  6. Step 6: Final answer
    x = 1,104,990.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.