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Finding the Third Proportional to 535,916 and 853,076

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Solution

The third proportional to 535,916 and 853,076 is: 1,357,934.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,916 : 853,076 = 853,076 : x
  2. Step 2: Convert to fraction form
    535,916/853,076 = 853,076/x
  3. Step 3: Cross multiply
    535,916x = 853,076 × 853,076
  4. Step 4: Simplify right side
    535,916x = 727,738,661,776
  5. Step 5: Solve for x
    x = 727,738,661,776/535,916
  6. Step 6: Final answer
    x = 1,357,934.19

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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.