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Finding the Third Proportional to 347,805 and 465,871

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Solution

The third proportional to 347,805 and 465,871 is: 624,015.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,805 : 465,871 = 465,871 : x
  2. Step 2: Convert to fraction form
    347,805/465,871 = 465,871/x
  3. Step 3: Cross multiply
    347,805x = 465,871 × 465,871
  4. Step 4: Simplify right side
    347,805x = 217,035,788,641
  5. Step 5: Solve for x
    x = 217,035,788,641/347,805
  6. Step 6: Final answer
    x = 624,015.72

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.