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Finding the Third Proportional to 375,637.50 and 563,348.25

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Solution

The third proportional to 375,637.50 and 563,348.25 is: 844,860.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,637.50 : 563,348.25 = 563,348.25 : x
  2. Step 2: Convert to fraction form
    375,637.50/563,348.25 = 563,348.25/x
  3. Step 3: Cross multiply
    375,637.50x = 563,348.25 × 563,348.25
  4. Step 4: Simplify right side
    375,637.50x = 317,361,250,778.06
  5. Step 5: Solve for x
    x = 317,361,250,778.06/375,637.50
  6. Step 6: Final answer
    x = 844,860.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.