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Finding the Third Proportional to 345,646 and 718,881

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Solution

The third proportional to 345,646 and 718,881 is: 1,495,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,646 : 718,881 = 718,881 : x
  2. Step 2: Convert to fraction form
    345,646/718,881 = 718,881/x
  3. Step 3: Cross multiply
    345,646x = 718,881 × 718,881
  4. Step 4: Simplify right side
    345,646x = 516,789,892,161
  5. Step 5: Solve for x
    x = 516,789,892,161/345,646
  6. Step 6: Final answer
    x = 1,495,142.12

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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.