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Finding the Third Proportional to 567.79 and 832.99

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Solution

The third proportional to 567.79 and 832.99 is: 1,222.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.79 : 832.99 = 832.99 : x
  2. Step 2: Convert to fraction form
    567.79/832.99 = 832.99/x
  3. Step 3: Cross multiply
    567.79x = 832.99 × 832.99
  4. Step 4: Simplify right side
    567.79x = 693,875.98
  5. Step 5: Solve for x
    x = 693,875.98/567.79
  6. Step 6: Final answer
    x = 1,222.06

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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.