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Finding the Third Proportional to 552,640 and 853,382

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Solution

The third proportional to 552,640 and 853,382 is: 1,317,785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,640 : 853,382 = 853,382 : x
  2. Step 2: Convert to fraction form
    552,640/853,382 = 853,382/x
  3. Step 3: Cross multiply
    552,640x = 853,382 × 853,382
  4. Step 4: Simplify right side
    552,640x = 728,260,837,924
  5. Step 5: Solve for x
    x = 728,260,837,924/552,640
  6. Step 6: Final answer
    x = 1,317,785.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.