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Finding the Third Proportional to 353,706 and 500,001

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Solution

The third proportional to 353,706 and 500,001 is: 706,804.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,706 : 500,001 = 500,001 : x
  2. Step 2: Convert to fraction form
    353,706/500,001 = 500,001/x
  3. Step 3: Cross multiply
    353,706x = 500,001 × 500,001
  4. Step 4: Simplify right side
    353,706x = 250,001,000,001
  5. Step 5: Solve for x
    x = 250,001,000,001/353,706
  6. Step 6: Final answer
    x = 706,804.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.