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Finding the Third Proportional to 443,066.25 and 971,903.63

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Solution

The third proportional to 443,066.25 and 971,903.63 is: 2,131,953.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,066.25 : 971,903.63 = 971,903.63 : x
  2. Step 2: Convert to fraction form
    443,066.25/971,903.63 = 971,903.63/x
  3. Step 3: Cross multiply
    443,066.25x = 971,903.63 × 971,903.63
  4. Step 4: Simplify right side
    443,066.25x = 944,596,656,288.14
  5. Step 5: Solve for x
    x = 944,596,656,288.14/443,066.25
  6. Step 6: Final answer
    x = 2,131,953.53

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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.