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Finding the Third Proportional to 435,734 and 666,142

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Solution

The third proportional to 435,734 and 666,142 is: 1,018,385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,734 : 666,142 = 666,142 : x
  2. Step 2: Convert to fraction form
    435,734/666,142 = 666,142/x
  3. Step 3: Cross multiply
    435,734x = 666,142 × 666,142
  4. Step 4: Simplify right side
    435,734x = 443,745,164,164
  5. Step 5: Solve for x
    x = 443,745,164,164/435,734
  6. Step 6: Final answer
    x = 1,018,385.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.