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Finding the Third Proportional to 535,908 and 853,062

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Solution

The third proportional to 535,908 and 853,062 is: 1,357,909.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,908 : 853,062 = 853,062 : x
  2. Step 2: Convert to fraction form
    535,908/853,062 = 853,062/x
  3. Step 3: Cross multiply
    535,908x = 853,062 × 853,062
  4. Step 4: Simplify right side
    535,908x = 727,714,775,844
  5. Step 5: Solve for x
    x = 727,714,775,844/535,908
  6. Step 6: Final answer
    x = 1,357,909.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.