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Finding the Third Proportional to 532,326 and 804,036

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Solution

The third proportional to 532,326 and 804,036 is: 1,214,432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,326 : 804,036 = 804,036 : x
  2. Step 2: Convert to fraction form
    532,326/804,036 = 804,036/x
  3. Step 3: Cross multiply
    532,326x = 804,036 × 804,036
  4. Step 4: Simplify right side
    532,326x = 646,473,889,296
  5. Step 5: Solve for x
    x = 646,473,889,296/532,326
  6. Step 6: Final answer
    x = 1,214,432.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.