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Finding the Third Proportional to 268,548.75 and 376,457.63

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Solution

The third proportional to 268,548.75 and 376,457.63 is: 527,726.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,548.75 : 376,457.63 = 376,457.63 : x
  2. Step 2: Convert to fraction form
    268,548.75/376,457.63 = 376,457.63/x
  3. Step 3: Cross multiply
    268,548.75x = 376,457.63 × 376,457.63
  4. Step 4: Simplify right side
    268,548.75x = 141,720,343,420.64
  5. Step 5: Solve for x
    x = 141,720,343,420.64/268,548.75
  6. Step 6: Final answer
    x = 527,726.69

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.