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Finding the Third Proportional to 330,160 and 515,004

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Solution

The third proportional to 330,160 and 515,004 is: 803,335.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,160 : 515,004 = 515,004 : x
  2. Step 2: Convert to fraction form
    330,160/515,004 = 515,004/x
  3. Step 3: Cross multiply
    330,160x = 515,004 × 515,004
  4. Step 4: Simplify right side
    330,160x = 265,229,120,016
  5. Step 5: Solve for x
    x = 265,229,120,016/330,160
  6. Step 6: Final answer
    x = 803,335.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.