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Finding the Third Proportional to 335,142 and 718,260

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Solution

The third proportional to 335,142 and 718,260 is: 1,539,339.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,142 : 718,260 = 718,260 : x
  2. Step 2: Convert to fraction form
    335,142/718,260 = 718,260/x
  3. Step 3: Cross multiply
    335,142x = 718,260 × 718,260
  4. Step 4: Simplify right side
    335,142x = 515,897,427,600
  5. Step 5: Solve for x
    x = 515,897,427,600/335,142
  6. Step 6: Final answer
    x = 1,539,339.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.