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Finding the Third Proportional to 288,724 and 609,044

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Solution

The third proportional to 288,724 and 609,044 is: 1,284,737.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,724 : 609,044 = 609,044 : x
  2. Step 2: Convert to fraction form
    288,724/609,044 = 609,044/x
  3. Step 3: Cross multiply
    288,724x = 609,044 × 609,044
  4. Step 4: Simplify right side
    288,724x = 370,934,593,936
  5. Step 5: Solve for x
    x = 370,934,593,936/288,724
  6. Step 6: Final answer
    x = 1,284,737.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.