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Finding the Third Proportional to 354,464 and 764,584

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Solution

The third proportional to 354,464 and 764,584 is: 1,649,218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,464 : 764,584 = 764,584 : x
  2. Step 2: Convert to fraction form
    354,464/764,584 = 764,584/x
  3. Step 3: Cross multiply
    354,464x = 764,584 × 764,584
  4. Step 4: Simplify right side
    354,464x = 584,588,693,056
  5. Step 5: Solve for x
    x = 584,588,693,056/354,464
  6. Step 6: Final answer
    x = 1,649,218.80

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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.