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Finding the Third Proportional to 432,142 and 654,176

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Solution

The third proportional to 432,142 and 654,176 is: 990,290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,142 : 654,176 = 654,176 : x
  2. Step 2: Convert to fraction form
    432,142/654,176 = 654,176/x
  3. Step 3: Cross multiply
    432,142x = 654,176 × 654,176
  4. Step 4: Simplify right side
    432,142x = 427,946,238,976
  5. Step 5: Solve for x
    x = 427,946,238,976/432,142
  6. Step 6: Final answer
    x = 990,290.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.