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Finding the Third Proportional to 335,556 and 728,352

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Solution

The third proportional to 335,556 and 728,352 is: 1,580,948.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,556 : 728,352 = 728,352 : x
  2. Step 2: Convert to fraction form
    335,556/728,352 = 728,352/x
  3. Step 3: Cross multiply
    335,556x = 728,352 × 728,352
  4. Step 4: Simplify right side
    335,556x = 530,496,635,904
  5. Step 5: Solve for x
    x = 530,496,635,904/335,556
  6. Step 6: Final answer
    x = 1,580,948.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.