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Finding the Third Proportional to 332,880 and 712,416

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Solution

The third proportional to 332,880 and 712,416 is: 1,524,683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,880 : 712,416 = 712,416 : x
  2. Step 2: Convert to fraction form
    332,880/712,416 = 712,416/x
  3. Step 3: Cross multiply
    332,880x = 712,416 × 712,416
  4. Step 4: Simplify right side
    332,880x = 507,536,557,056
  5. Step 5: Solve for x
    x = 507,536,557,056/332,880
  6. Step 6: Final answer
    x = 1,524,683.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.