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Finding the Third Proportional to 262,768 and 564,902

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Solution

The third proportional to 262,768 and 564,902 is: 1,214,433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,768 : 564,902 = 564,902 : x
  2. Step 2: Convert to fraction form
    262,768/564,902 = 564,902/x
  3. Step 3: Cross multiply
    262,768x = 564,902 × 564,902
  4. Step 4: Simplify right side
    262,768x = 319,114,269,604
  5. Step 5: Solve for x
    x = 319,114,269,604/262,768
  6. Step 6: Final answer
    x = 1,214,433.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.