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Finding the Third Proportional to 532,398 and 804,142

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Solution

The third proportional to 532,398 and 804,142 is: 1,214,588.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,398 : 804,142 = 804,142 : x
  2. Step 2: Convert to fraction form
    532,398/804,142 = 804,142/x
  3. Step 3: Cross multiply
    532,398x = 804,142 × 804,142
  4. Step 4: Simplify right side
    532,398x = 646,644,356,164
  5. Step 5: Solve for x
    x = 646,644,356,164/532,398
  6. Step 6: Final answer
    x = 1,214,588.25

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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.