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Finding the Third Proportional to 327,465 and 704,729

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Solution

The third proportional to 327,465 and 704,729 is: 1,516,629.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,465 : 704,729 = 704,729 : x
  2. Step 2: Convert to fraction form
    327,465/704,729 = 704,729/x
  3. Step 3: Cross multiply
    327,465x = 704,729 × 704,729
  4. Step 4: Simplify right side
    327,465x = 496,642,963,441
  5. Step 5: Solve for x
    x = 496,642,963,441/327,465
  6. Step 6: Final answer
    x = 1,516,629.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.