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Finding the Third Proportional to 362,587 and 768,397

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Solution

The third proportional to 362,587 and 768,397 is: 1,628,392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,587 : 768,397 = 768,397 : x
  2. Step 2: Convert to fraction form
    362,587/768,397 = 768,397/x
  3. Step 3: Cross multiply
    362,587x = 768,397 × 768,397
  4. Step 4: Simplify right side
    362,587x = 590,433,949,609
  5. Step 5: Solve for x
    x = 590,433,949,609/362,587
  6. Step 6: Final answer
    x = 1,628,392.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.