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Finding the Third Proportional to 517,464 and 822,852

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Solution

The third proportional to 517,464 and 822,852 is: 1,308,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,464 : 822,852 = 822,852 : x
  2. Step 2: Convert to fraction form
    517,464/822,852 = 822,852/x
  3. Step 3: Cross multiply
    517,464x = 822,852 × 822,852
  4. Step 4: Simplify right side
    517,464x = 677,085,413,904
  5. Step 5: Solve for x
    x = 677,085,413,904/517,464
  6. Step 6: Final answer
    x = 1,308,468.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.