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Finding the Third Proportional to 432,160 and 942,296

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Solution

The third proportional to 432,160 and 942,296 is: 2,054,613.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,160 : 942,296 = 942,296 : x
  2. Step 2: Convert to fraction form
    432,160/942,296 = 942,296/x
  3. Step 3: Cross multiply
    432,160x = 942,296 × 942,296
  4. Step 4: Simplify right side
    432,160x = 887,921,751,616
  5. Step 5: Solve for x
    x = 887,921,751,616/432,160
  6. Step 6: Final answer
    x = 2,054,613.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.