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Finding the Third Proportional to 345,652 and 718,893

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Solution

The third proportional to 345,652 and 718,893 is: 1,495,166.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,652 : 718,893 = 718,893 : x
  2. Step 2: Convert to fraction form
    345,652/718,893 = 718,893/x
  3. Step 3: Cross multiply
    345,652x = 718,893 × 718,893
  4. Step 4: Simplify right side
    345,652x = 516,807,145,449
  5. Step 5: Solve for x
    x = 516,807,145,449/345,652
  6. Step 6: Final answer
    x = 1,495,166.08

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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.