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Finding the Third Proportional to 567.04 and 826.53

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Solution

The third proportional to 567.04 and 826.53 is: 1,204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.04 : 826.53 = 826.53 : x
  2. Step 2: Convert to fraction form
    567.04/826.53 = 826.53/x
  3. Step 3: Cross multiply
    567.04x = 826.53 × 826.53
  4. Step 4: Simplify right side
    567.04x = 683,155.52
  5. Step 5: Solve for x
    x = 683,155.52/567.04
  6. Step 6: Final answer
    x = 1,204.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.