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Finding the Third Proportional to 259,402 and 564,236

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Solution

The third proportional to 259,402 and 564,236 is: 1,227,293.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,402 : 564,236 = 564,236 : x
  2. Step 2: Convert to fraction form
    259,402/564,236 = 564,236/x
  3. Step 3: Cross multiply
    259,402x = 564,236 × 564,236
  4. Step 4: Simplify right side
    259,402x = 318,362,263,696
  5. Step 5: Solve for x
    x = 318,362,263,696/259,402
  6. Step 6: Final answer
    x = 1,227,293.02

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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.