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Finding the Third Proportional to 532,328 and 804,039

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Solution

The third proportional to 532,328 and 804,039 is: 1,214,436.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,328 : 804,039 = 804,039 : x
  2. Step 2: Convert to fraction form
    532,328/804,039 = 804,039/x
  3. Step 3: Cross multiply
    532,328x = 804,039 × 804,039
  4. Step 4: Simplify right side
    532,328x = 646,478,713,521
  5. Step 5: Solve for x
    x = 646,478,713,521/532,328
  6. Step 6: Final answer
    x = 1,214,436.80

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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.