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Finding the Third Proportional to 503,732 and 698,164

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Solution

The third proportional to 503,732 and 698,164 is: 967,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,732 : 698,164 = 698,164 : x
  2. Step 2: Convert to fraction form
    503,732/698,164 = 698,164/x
  3. Step 3: Cross multiply
    503,732x = 698,164 × 698,164
  4. Step 4: Simplify right side
    503,732x = 487,432,970,896
  5. Step 5: Solve for x
    x = 487,432,970,896/503,732
  6. Step 6: Final answer
    x = 967,643.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.