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Finding the Third Proportional to 338,412.50 and 722,492

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Solution

The third proportional to 338,412.50 and 722,492 is: 1,542,480.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,412.50 : 722,492 = 722,492 : x
  2. Step 2: Convert to fraction form
    338,412.50/722,492 = 722,492/x
  3. Step 3: Cross multiply
    338,412.50x = 722,492 × 722,492
  4. Step 4: Simplify right side
    338,412.50x = 521,994,690,064
  5. Step 5: Solve for x
    x = 521,994,690,064/338,412.50
  6. Step 6: Final answer
    x = 1,542,480.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.