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Finding the Third Proportional to 528,950 and 805,819

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Solution

The third proportional to 528,950 and 805,819 is: 1,227,609.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,950 : 805,819 = 805,819 : x
  2. Step 2: Convert to fraction form
    528,950/805,819 = 805,819/x
  3. Step 3: Cross multiply
    528,950x = 805,819 × 805,819
  4. Step 4: Simplify right side
    528,950x = 649,344,260,761
  5. Step 5: Solve for x
    x = 649,344,260,761/528,950
  6. Step 6: Final answer
    x = 1,227,609.91

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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.