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Finding the Third Proportional to 262,304 and 566,485

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Solution

The third proportional to 262,304 and 566,485 is: 1,223,409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,304 : 566,485 = 566,485 : x
  2. Step 2: Convert to fraction form
    262,304/566,485 = 566,485/x
  3. Step 3: Cross multiply
    262,304x = 566,485 × 566,485
  4. Step 4: Simplify right side
    262,304x = 320,905,255,225
  5. Step 5: Solve for x
    x = 320,905,255,225/262,304
  6. Step 6: Final answer
    x = 1,223,409.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.