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Finding the Third Proportional to 466,584 and 964,272

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Solution

The third proportional to 466,584 and 964,272 is: 1,992,825.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,584 : 964,272 = 964,272 : x
  2. Step 2: Convert to fraction form
    466,584/964,272 = 964,272/x
  3. Step 3: Cross multiply
    466,584x = 964,272 × 964,272
  4. Step 4: Simplify right side
    466,584x = 929,820,489,984
  5. Step 5: Solve for x
    x = 929,820,489,984/466,584
  6. Step 6: Final answer
    x = 1,992,825.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.