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Finding the Third Proportional to 341,489 and 501,161.50

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Solution

The third proportional to 341,489 and 501,161.50 is: 735,493.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,489 : 501,161.50 = 501,161.50 : x
  2. Step 2: Convert to fraction form
    341,489/501,161.50 = 501,161.50/x
  3. Step 3: Cross multiply
    341,489x = 501,161.50 × 501,161.50
  4. Step 4: Simplify right side
    341,489x = 251,162,849,082.25
  5. Step 5: Solve for x
    x = 251,162,849,082.25/341,489
  6. Step 6: Final answer
    x = 735,493.23

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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.