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Finding the Third Proportional to 529,023 and 805,923

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Solution

The third proportional to 529,023 and 805,923 is: 1,227,757.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,023 : 805,923 = 805,923 : x
  2. Step 2: Convert to fraction form
    529,023/805,923 = 805,923/x
  3. Step 3: Cross multiply
    529,023x = 805,923 × 805,923
  4. Step 4: Simplify right side
    529,023x = 649,511,881,929
  5. Step 5: Solve for x
    x = 649,511,881,929/529,023
  6. Step 6: Final answer
    x = 1,227,757.36

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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.