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Finding the Third Proportional to 340,810 and 716,874

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Solution

The third proportional to 340,810 and 716,874 is: 1,507,902.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,810 : 716,874 = 716,874 : x
  2. Step 2: Convert to fraction form
    340,810/716,874 = 716,874/x
  3. Step 3: Cross multiply
    340,810x = 716,874 × 716,874
  4. Step 4: Simplify right side
    340,810x = 513,908,331,876
  5. Step 5: Solve for x
    x = 513,908,331,876/340,810
  6. Step 6: Final answer
    x = 1,507,902.74

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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.