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Finding the Third Proportional to 350,325 and 725,562

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Solution

The third proportional to 350,325 and 725,562 is: 1,502,719.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,325 : 725,562 = 725,562 : x
  2. Step 2: Convert to fraction form
    350,325/725,562 = 725,562/x
  3. Step 3: Cross multiply
    350,325x = 725,562 × 725,562
  4. Step 4: Simplify right side
    350,325x = 526,440,215,844
  5. Step 5: Solve for x
    x = 526,440,215,844/350,325
  6. Step 6: Final answer
    x = 1,502,719.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.