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Finding the Third Proportional to 489,380 and 748,692

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Solution

The third proportional to 489,380 and 748,692 is: 1,145,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,380 : 748,692 = 748,692 : x
  2. Step 2: Convert to fraction form
    489,380/748,692 = 748,692/x
  3. Step 3: Cross multiply
    489,380x = 748,692 × 748,692
  4. Step 4: Simplify right side
    489,380x = 560,539,710,864
  5. Step 5: Solve for x
    x = 560,539,710,864/489,380
  6. Step 6: Final answer
    x = 1,145,407.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.