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Finding the Third Proportional to 528,832 and 805,640

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Solution

The third proportional to 528,832 and 805,640 is: 1,227,338.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,832 : 805,640 = 805,640 : x
  2. Step 2: Convert to fraction form
    528,832/805,640 = 805,640/x
  3. Step 3: Cross multiply
    528,832x = 805,640 × 805,640
  4. Step 4: Simplify right side
    528,832x = 649,055,809,600
  5. Step 5: Solve for x
    x = 649,055,809,600/528,832
  6. Step 6: Final answer
    x = 1,227,338.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.