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Finding the Third Proportional to 416,326.50 and 865,377

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Solution

The third proportional to 416,326.50 and 865,377 is: 1,798,774.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,326.50 : 865,377 = 865,377 : x
  2. Step 2: Convert to fraction form
    416,326.50/865,377 = 865,377/x
  3. Step 3: Cross multiply
    416,326.50x = 865,377 × 865,377
  4. Step 4: Simplify right side
    416,326.50x = 748,877,352,129
  5. Step 5: Solve for x
    x = 748,877,352,129/416,326.50
  6. Step 6: Final answer
    x = 1,798,774.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.