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Finding the Third Proportional to 432,896 and 647,584

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Solution

The third proportional to 432,896 and 647,584 is: 968,743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,896 : 647,584 = 647,584 : x
  2. Step 2: Convert to fraction form
    432,896/647,584 = 647,584/x
  3. Step 3: Cross multiply
    432,896x = 647,584 × 647,584
  4. Step 4: Simplify right side
    432,896x = 419,365,037,056
  5. Step 5: Solve for x
    x = 419,365,037,056/432,896
  6. Step 6: Final answer
    x = 968,743.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.