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Finding the Third Proportional to 535,924 and 853,088

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Solution

The third proportional to 535,924 and 853,088 is: 1,357,952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,924 : 853,088 = 853,088 : x
  2. Step 2: Convert to fraction form
    535,924/853,088 = 853,088/x
  3. Step 3: Cross multiply
    535,924x = 853,088 × 853,088
  4. Step 4: Simplify right side
    535,924x = 727,759,135,744
  5. Step 5: Solve for x
    x = 727,759,135,744/535,924
  6. Step 6: Final answer
    x = 1,357,952.13

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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.