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Finding the Third Proportional to 333,215 and 725,590

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Solution

The third proportional to 333,215 and 725,590 is: 1,580,003.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,215 : 725,590 = 725,590 : x
  2. Step 2: Convert to fraction form
    333,215/725,590 = 725,590/x
  3. Step 3: Cross multiply
    333,215x = 725,590 × 725,590
  4. Step 4: Simplify right side
    333,215x = 526,480,848,100
  5. Step 5: Solve for x
    x = 526,480,848,100/333,215
  6. Step 6: Final answer
    x = 1,580,003.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.