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Finding the Third Proportional to 375,225.75 and 561,812.63

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Solution

The third proportional to 375,225.75 and 561,812.63 is: 841,182.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,225.75 : 561,812.63 = 561,812.63 : x
  2. Step 2: Convert to fraction form
    375,225.75/561,812.63 = 561,812.63/x
  3. Step 3: Cross multiply
    375,225.75x = 561,812.63 × 561,812.63
  4. Step 4: Simplify right side
    375,225.75x = 315,633,425,609.39
  5. Step 5: Solve for x
    x = 315,633,425,609.39/375,225.75
  6. Step 6: Final answer
    x = 841,182.74

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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.