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Finding the Third Proportional to 457,695 and 665,765

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Solution

The third proportional to 457,695 and 665,765 is: 968,424.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,695 : 665,765 = 665,765 : x
  2. Step 2: Convert to fraction form
    457,695/665,765 = 665,765/x
  3. Step 3: Cross multiply
    457,695x = 665,765 × 665,765
  4. Step 4: Simplify right side
    457,695x = 443,243,035,225
  5. Step 5: Solve for x
    x = 443,243,035,225/457,695
  6. Step 6: Final answer
    x = 968,424.46

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.