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Finding the Third Proportional to 258,737 and 563,035

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Solution

The third proportional to 258,737 and 563,035 is: 1,225,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,737 : 563,035 = 563,035 : x
  2. Step 2: Convert to fraction form
    258,737/563,035 = 563,035/x
  3. Step 3: Cross multiply
    258,737x = 563,035 × 563,035
  4. Step 4: Simplify right side
    258,737x = 317,008,411,225
  5. Step 5: Solve for x
    x = 317,008,411,225/258,737
  6. Step 6: Final answer
    x = 1,225,214.84

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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.