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Finding the Third Proportional to 563,024 and 845,274

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Solution

The third proportional to 563,024 and 845,274 is: 1,269,018.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,024 : 845,274 = 845,274 : x
  2. Step 2: Convert to fraction form
    563,024/845,274 = 845,274/x
  3. Step 3: Cross multiply
    563,024x = 845,274 × 845,274
  4. Step 4: Simplify right side
    563,024x = 714,488,135,076
  5. Step 5: Solve for x
    x = 714,488,135,076/563,024
  6. Step 6: Final answer
    x = 1,269,018.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.