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Finding the Third Proportional to 299,412 and 461,508.75

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Solution

The third proportional to 299,412 and 461,508.75 is: 711,362.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,412 : 461,508.75 = 461,508.75 : x
  2. Step 2: Convert to fraction form
    299,412/461,508.75 = 461,508.75/x
  3. Step 3: Cross multiply
    299,412x = 461,508.75 × 461,508.75
  4. Step 4: Simplify right side
    299,412x = 212,990,326,326.56
  5. Step 5: Solve for x
    x = 212,990,326,326.56/299,412
  6. Step 6: Final answer
    x = 711,362.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.