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Finding the Third Proportional to 259,462 and 564,363

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Solution

The third proportional to 259,462 and 564,363 is: 1,227,561.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,462 : 564,363 = 564,363 : x
  2. Step 2: Convert to fraction form
    259,462/564,363 = 564,363/x
  3. Step 3: Cross multiply
    259,462x = 564,363 × 564,363
  4. Step 4: Simplify right side
    259,462x = 318,505,595,769
  5. Step 5: Solve for x
    x = 318,505,595,769/259,462
  6. Step 6: Final answer
    x = 1,227,561.63

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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.