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Finding the Third Proportional to 528,800 and 794,382

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Solution

The third proportional to 528,800 and 794,382 is: 1,193,348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,800 : 794,382 = 794,382 : x
  2. Step 2: Convert to fraction form
    528,800/794,382 = 794,382/x
  3. Step 3: Cross multiply
    528,800x = 794,382 × 794,382
  4. Step 4: Simplify right side
    528,800x = 631,042,761,924
  5. Step 5: Solve for x
    x = 631,042,761,924/528,800
  6. Step 6: Final answer
    x = 1,193,348.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.