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Finding the Third Proportional to 262,400 and 563,024

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Solution

The third proportional to 262,400 and 563,024 is: 1,208,064.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,400 : 563,024 = 563,024 : x
  2. Step 2: Convert to fraction form
    262,400/563,024 = 563,024/x
  3. Step 3: Cross multiply
    262,400x = 563,024 × 563,024
  4. Step 4: Simplify right side
    262,400x = 316,996,024,576
  5. Step 5: Solve for x
    x = 316,996,024,576/262,400
  6. Step 6: Final answer
    x = 1,208,064.12

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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.