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Finding the Third Proportional to 528,944 and 805,806

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Solution

The third proportional to 528,944 and 805,806 is: 1,227,584.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,944 : 805,806 = 805,806 : x
  2. Step 2: Convert to fraction form
    528,944/805,806 = 805,806/x
  3. Step 3: Cross multiply
    528,944x = 805,806 × 805,806
  4. Step 4: Simplify right side
    528,944x = 649,323,309,636
  5. Step 5: Solve for x
    x = 649,323,309,636/528,944
  6. Step 6: Final answer
    x = 1,227,584.22

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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.