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Finding the Third Proportional to 250,443 and 375,772.50

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Solution

The third proportional to 250,443 and 375,772.50 is: 563,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,443 : 375,772.50 = 375,772.50 : x
  2. Step 2: Convert to fraction form
    250,443/375,772.50 = 375,772.50/x
  3. Step 3: Cross multiply
    250,443x = 375,772.50 × 375,772.50
  4. Step 4: Simplify right side
    250,443x = 141,204,971,756.25
  5. Step 5: Solve for x
    x = 141,204,971,756.25/250,443
  6. Step 6: Final answer
    x = 563,820.80

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