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Finding the Third Proportional to 336,672 and 725,820

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Solution

The third proportional to 336,672 and 725,820 is: 1,564,771.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,672 : 725,820 = 725,820 : x
  2. Step 2: Convert to fraction form
    336,672/725,820 = 725,820/x
  3. Step 3: Cross multiply
    336,672x = 725,820 × 725,820
  4. Step 4: Simplify right side
    336,672x = 526,814,672,400
  5. Step 5: Solve for x
    x = 526,814,672,400/336,672
  6. Step 6: Final answer
    x = 1,564,771.27

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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.