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Finding the Third Proportional to 466,556.63 and 704,109.38

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Solution

The third proportional to 466,556.63 and 704,109.38 is: 1,062,614.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,556.63 : 704,109.38 = 704,109.38 : x
  2. Step 2: Convert to fraction form
    466,556.63/704,109.38 = 704,109.38/x
  3. Step 3: Cross multiply
    466,556.63x = 704,109.38 × 704,109.38
  4. Step 4: Simplify right side
    466,556.63x = 495,770,011,962.89
  5. Step 5: Solve for x
    x = 495,770,011,962.89/466,556.63
  6. Step 6: Final answer
    x = 1,062,614.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.