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Finding the Third Proportional to 245,732 and 535,928

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Solution

The third proportional to 245,732 and 535,928 is: 1,168,829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,732 : 535,928 = 535,928 : x
  2. Step 2: Convert to fraction form
    245,732/535,928 = 535,928/x
  3. Step 3: Cross multiply
    245,732x = 535,928 × 535,928
  4. Step 4: Simplify right side
    245,732x = 287,218,821,184
  5. Step 5: Solve for x
    x = 287,218,821,184/245,732
  6. Step 6: Final answer
    x = 1,168,829.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.