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Finding the Third Proportional to 398,979 and 865,773

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Solution

The third proportional to 398,979 and 865,773 is: 1,878,702.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,979 : 865,773 = 865,773 : x
  2. Step 2: Convert to fraction form
    398,979/865,773 = 865,773/x
  3. Step 3: Cross multiply
    398,979x = 865,773 × 865,773
  4. Step 4: Simplify right side
    398,979x = 749,562,887,529
  5. Step 5: Solve for x
    x = 749,562,887,529/398,979
  6. Step 6: Final answer
    x = 1,878,702.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.