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Finding the Third Proportional to 404,376 and 865,555

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Solution

The third proportional to 404,376 and 865,555 is: 1,852,695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,376 : 865,555 = 865,555 : x
  2. Step 2: Convert to fraction form
    404,376/865,555 = 865,555/x
  3. Step 3: Cross multiply
    404,376x = 865,555 × 865,555
  4. Step 4: Simplify right side
    404,376x = 749,185,458,025
  5. Step 5: Solve for x
    x = 749,185,458,025/404,376
  6. Step 6: Final answer
    x = 1,852,695.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.