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Finding the Third Proportional to 466,706 and 704,331

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Solution

The third proportional to 466,706 and 704,331 is: 1,062,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,706 : 704,331 = 704,331 : x
  2. Step 2: Convert to fraction form
    466,706/704,331 = 704,331/x
  3. Step 3: Cross multiply
    466,706x = 704,331 × 704,331
  4. Step 4: Simplify right side
    466,706x = 496,082,157,561
  5. Step 5: Solve for x
    x = 496,082,157,561/466,706
  6. Step 6: Final answer
    x = 1,062,943.60

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Why These Related Problems?

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