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Finding the Third Proportional to 333,380 and 719,248

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Solution

The third proportional to 333,380 and 719,248 is: 1,551,735.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,380 : 719,248 = 719,248 : x
  2. Step 2: Convert to fraction form
    333,380/719,248 = 719,248/x
  3. Step 3: Cross multiply
    333,380x = 719,248 × 719,248
  4. Step 4: Simplify right side
    333,380x = 517,317,685,504
  5. Step 5: Solve for x
    x = 517,317,685,504/333,380
  6. Step 6: Final answer
    x = 1,551,735.81

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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.