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Finding the Third Proportional to 706,295.50 and 1,532,996

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Solution

The third proportional to 706,295.50 and 1,532,996 is: 3,327,327.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,295.50 : 1,532,996 = 1,532,996 : x
  2. Step 2: Convert to fraction form
    706,295.50/1,532,996 = 1,532,996/x
  3. Step 3: Cross multiply
    706,295.50x = 1,532,996 × 1,532,996
  4. Step 4: Simplify right side
    706,295.50x = 2,350,076,736,016
  5. Step 5: Solve for x
    x = 2,350,076,736,016/706,295.50
  6. Step 6: Final answer
    x = 3,327,327.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.