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Finding the Third Proportional to 294,172.50 and 635,001

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Solution

The third proportional to 294,172.50 and 635,001 is: 1,370,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,172.50 : 635,001 = 635,001 : x
  2. Step 2: Convert to fraction form
    294,172.50/635,001 = 635,001/x
  3. Step 3: Cross multiply
    294,172.50x = 635,001 × 635,001
  4. Step 4: Simplify right side
    294,172.50x = 403,226,270,001
  5. Step 5: Solve for x
    x = 403,226,270,001/294,172.50
  6. Step 6: Final answer
    x = 1,370,713.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.