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Finding the Third Proportional to 353,654 and 540,810

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Solution

The third proportional to 353,654 and 540,810 is: 827,010.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,654 : 540,810 = 540,810 : x
  2. Step 2: Convert to fraction form
    353,654/540,810 = 540,810/x
  3. Step 3: Cross multiply
    353,654x = 540,810 × 540,810
  4. Step 4: Simplify right side
    353,654x = 292,475,456,100
  5. Step 5: Solve for x
    x = 292,475,456,100/353,654
  6. Step 6: Final answer
    x = 827,010.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.