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Finding the Third Proportional to 465,489 and 711,774

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Solution

The third proportional to 465,489 and 711,774 is: 1,088,365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,489 : 711,774 = 711,774 : x
  2. Step 2: Convert to fraction form
    465,489/711,774 = 711,774/x
  3. Step 3: Cross multiply
    465,489x = 711,774 × 711,774
  4. Step 4: Simplify right side
    465,489x = 506,622,227,076
  5. Step 5: Solve for x
    x = 506,622,227,076/465,489
  6. Step 6: Final answer
    x = 1,088,365.63

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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.