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Finding the Third Proportional to 356,654 and 725,764

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Solution

The third proportional to 356,654 and 725,764 is: 1,476,875.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,654 : 725,764 = 725,764 : x
  2. Step 2: Convert to fraction form
    356,654/725,764 = 725,764/x
  3. Step 3: Cross multiply
    356,654x = 725,764 × 725,764
  4. Step 4: Simplify right side
    356,654x = 526,733,383,696
  5. Step 5: Solve for x
    x = 526,733,383,696/356,654
  6. Step 6: Final answer
    x = 1,476,875.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.