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Finding the Third Proportional to 399,312 and 865,995

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Solution

The third proportional to 399,312 and 865,995 is: 1,878,098.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,312 : 865,995 = 865,995 : x
  2. Step 2: Convert to fraction form
    399,312/865,995 = 865,995/x
  3. Step 3: Cross multiply
    399,312x = 865,995 × 865,995
  4. Step 4: Simplify right side
    399,312x = 749,947,340,025
  5. Step 5: Solve for x
    x = 749,947,340,025/399,312
  6. Step 6: Final answer
    x = 1,878,098.68

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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.