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Finding the Third Proportional to 599,164 and 842,764

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Solution

The third proportional to 599,164 and 842,764 is: 1,185,403.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,164 : 842,764 = 842,764 : x
  2. Step 2: Convert to fraction form
    599,164/842,764 = 842,764/x
  3. Step 3: Cross multiply
    599,164x = 842,764 × 842,764
  4. Step 4: Simplify right side
    599,164x = 710,251,159,696
  5. Step 5: Solve for x
    x = 710,251,159,696/599,164
  6. Step 6: Final answer
    x = 1,185,403.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.