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Finding the Third Proportional to 595,728 and 881,928

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Solution

The third proportional to 595,728 and 881,928 is: 1,305,624.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,728 : 881,928 = 881,928 : x
  2. Step 2: Convert to fraction form
    595,728/881,928 = 881,928/x
  3. Step 3: Cross multiply
    595,728x = 881,928 × 881,928
  4. Step 4: Simplify right side
    595,728x = 777,796,997,184
  5. Step 5: Solve for x
    x = 777,796,997,184/595,728
  6. Step 6: Final answer
    x = 1,305,624.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.