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Finding the Third Proportional to 743,584.43 and 1,003,271.06

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Solution

The third proportional to 743,584.43 and 1,003,271.06 is: 1,353,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,584.43 : 1,003,271.06 = 1,003,271.06 : x
  2. Step 2: Convert to fraction form
    743,584.43/1,003,271.06 = 1,003,271.06/x
  3. Step 3: Cross multiply
    743,584.43x = 1,003,271.06 × 1,003,271.06
  4. Step 4: Simplify right side
    743,584.43x = 1,006,552,824,849.88
  5. Step 5: Solve for x
    x = 1,006,552,824,849.88/743,584.43
  6. Step 6: Final answer
    x = 1,353,649.68

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.