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Finding the Third Proportional to 345,660 and 718,911

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Solution

The third proportional to 345,660 and 718,911 is: 1,495,206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,660 : 718,911 = 718,911 : x
  2. Step 2: Convert to fraction form
    345,660/718,911 = 718,911/x
  3. Step 3: Cross multiply
    345,660x = 718,911 × 718,911
  4. Step 4: Simplify right side
    345,660x = 516,833,025,921
  5. Step 5: Solve for x
    x = 516,833,025,921/345,660
  6. Step 6: Final answer
    x = 1,495,206.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.