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Finding the Third Proportional to 228,792 and 347,853

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Solution

The third proportional to 228,792 and 347,853 is: 528,872.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,792 : 347,853 = 347,853 : x
  2. Step 2: Convert to fraction form
    228,792/347,853 = 347,853/x
  3. Step 3: Cross multiply
    228,792x = 347,853 × 347,853
  4. Step 4: Simplify right side
    228,792x = 121,001,709,609
  5. Step 5: Solve for x
    x = 121,001,709,609/228,792
  6. Step 6: Final answer
    x = 528,872.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.