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Finding the Third Proportional to 416,328.50 and 865,382

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Solution

The third proportional to 416,328.50 and 865,382 is: 1,798,786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,328.50 : 865,382 = 865,382 : x
  2. Step 2: Convert to fraction form
    416,328.50/865,382 = 865,382/x
  3. Step 3: Cross multiply
    416,328.50x = 865,382 × 865,382
  4. Step 4: Simplify right side
    416,328.50x = 748,886,005,924
  5. Step 5: Solve for x
    x = 748,886,005,924/416,328.50
  6. Step 6: Final answer
    x = 1,798,786.31

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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.