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Finding the Third Proportional to 340,797.38 and 716,849.63

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Solution

The third proportional to 340,797.38 and 716,849.63 is: 1,507,856.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,797.38 : 716,849.63 = 716,849.63 : x
  2. Step 2: Convert to fraction form
    340,797.38/716,849.63 = 716,849.63/x
  3. Step 3: Cross multiply
    340,797.38x = 716,849.63 × 716,849.63
  4. Step 4: Simplify right side
    340,797.38x = 513,873,384,862.64
  5. Step 5: Solve for x
    x = 513,873,384,862.64/340,797.38
  6. Step 6: Final answer
    x = 1,507,856.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.