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Finding the Third Proportional to 433,799.16 and 939,996.84

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Solution

The third proportional to 433,799.16 and 939,996.84 is: 2,036,873.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,799.16 : 939,996.84 = 939,996.84 : x
  2. Step 2: Convert to fraction form
    433,799.16/939,996.84 = 939,996.84/x
  3. Step 3: Cross multiply
    433,799.16x = 939,996.84 × 939,996.84
  4. Step 4: Simplify right side
    433,799.16x = 883,594,066,259.96
  5. Step 5: Solve for x
    x = 883,594,066,259.96/433,799.16
  6. Step 6: Final answer
    x = 2,036,873.64

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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.