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Finding the Third Proportional to 436,320.75 and 675,217.13

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Solution

The third proportional to 436,320.75 and 675,217.13 is: 1,044,915.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,320.75 : 675,217.13 = 675,217.13 : x
  2. Step 2: Convert to fraction form
    436,320.75/675,217.13 = 675,217.13/x
  3. Step 3: Cross multiply
    436,320.75x = 675,217.13 × 675,217.13
  4. Step 4: Simplify right side
    436,320.75x = 455,918,165,893.27
  5. Step 5: Solve for x
    x = 455,918,165,893.27/436,320.75
  6. Step 6: Final answer
    x = 1,044,915.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.