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Finding the Third Proportional to 336,268 and 725,658

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Solution

The third proportional to 336,268 and 725,658 is: 1,565,951.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,268 : 725,658 = 725,658 : x
  2. Step 2: Convert to fraction form
    336,268/725,658 = 725,658/x
  3. Step 3: Cross multiply
    336,268x = 725,658 × 725,658
  4. Step 4: Simplify right side
    336,268x = 526,579,532,964
  5. Step 5: Solve for x
    x = 526,579,532,964/336,268
  6. Step 6: Final answer
    x = 1,565,951.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.