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Finding the Third Proportional to 356,920 and 489,416

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Solution

The third proportional to 356,920 and 489,416 is: 671,097.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,920 : 489,416 = 489,416 : x
  2. Step 2: Convert to fraction form
    356,920/489,416 = 489,416/x
  3. Step 3: Cross multiply
    356,920x = 489,416 × 489,416
  4. Step 4: Simplify right side
    356,920x = 239,528,021,056
  5. Step 5: Solve for x
    x = 239,528,021,056/356,920
  6. Step 6: Final answer
    x = 671,097.22

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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.