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Finding the Third Proportional to 341,491.78 and 501,165.98

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Solution

The third proportional to 341,491.78 and 501,165.98 is: 735,500.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,491.78 : 501,165.98 = 501,165.98 : x
  2. Step 2: Convert to fraction form
    341,491.78/501,165.98 = 501,165.98/x
  3. Step 3: Cross multiply
    341,491.78x = 501,165.98 × 501,165.98
  4. Step 4: Simplify right side
    341,491.78x = 251,167,343,894.56
  5. Step 5: Solve for x
    x = 251,167,343,894.56/341,491.78
  6. Step 6: Final answer
    x = 735,500.41

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.