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Finding the Third Proportional to 259,028 and 563,632

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Solution

The third proportional to 259,028 and 563,632 is: 1,226,435.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,028 : 563,632 = 563,632 : x
  2. Step 2: Convert to fraction form
    259,028/563,632 = 563,632/x
  3. Step 3: Cross multiply
    259,028x = 563,632 × 563,632
  4. Step 4: Simplify right side
    259,028x = 317,681,031,424
  5. Step 5: Solve for x
    x = 317,681,031,424/259,028
  6. Step 6: Final answer
    x = 1,226,435.10

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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.