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Finding the Third Proportional to 356,774.50 and 489,239

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Solution

The third proportional to 356,774.50 and 489,239 is: 670,885.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,774.50 : 489,239 = 489,239 : x
  2. Step 2: Convert to fraction form
    356,774.50/489,239 = 489,239/x
  3. Step 3: Cross multiply
    356,774.50x = 489,239 × 489,239
  4. Step 4: Simplify right side
    356,774.50x = 239,354,799,121
  5. Step 5: Solve for x
    x = 239,354,799,121/356,774.50
  6. Step 6: Final answer
    x = 670,885.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.