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Finding the Third Proportional to 242,024 and 384,391

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Solution

The third proportional to 242,024 and 384,391 is: 610,503.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,024 : 384,391 = 384,391 : x
  2. Step 2: Convert to fraction form
    242,024/384,391 = 384,391/x
  3. Step 3: Cross multiply
    242,024x = 384,391 × 384,391
  4. Step 4: Simplify right side
    242,024x = 147,756,440,881
  5. Step 5: Solve for x
    x = 147,756,440,881/242,024
  6. Step 6: Final answer
    x = 610,503.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.