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Finding the Third Proportional to 268,693.50 and 566,541

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Solution

The third proportional to 268,693.50 and 566,541 is: 1,194,553.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,693.50 : 566,541 = 566,541 : x
  2. Step 2: Convert to fraction form
    268,693.50/566,541 = 566,541/x
  3. Step 3: Cross multiply
    268,693.50x = 566,541 × 566,541
  4. Step 4: Simplify right side
    268,693.50x = 320,968,704,681
  5. Step 5: Solve for x
    x = 320,968,704,681/268,693.50
  6. Step 6: Final answer
    x = 1,194,553.29

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.