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Finding the Third Proportional to 443,670 and 971,287.50

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Solution

The third proportional to 443,670 and 971,287.50 is: 2,126,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,670 : 971,287.50 = 971,287.50 : x
  2. Step 2: Convert to fraction form
    443,670/971,287.50 = 971,287.50/x
  3. Step 3: Cross multiply
    443,670x = 971,287.50 × 971,287.50
  4. Step 4: Simplify right side
    443,670x = 943,399,407,656.25
  5. Step 5: Solve for x
    x = 943,399,407,656.25/443,670
  6. Step 6: Final answer
    x = 2,126,353.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.