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Finding the Third Proportional to 567.63 and 1,256.45

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Solution

The third proportional to 567.63 and 1,256.45 is: 2,781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.63 : 1,256.45 = 1,256.45 : x
  2. Step 2: Convert to fraction form
    567.63/1,256.45 = 1,256.45/x
  3. Step 3: Cross multiply
    567.63x = 1,256.45 × 1,256.45
  4. Step 4: Simplify right side
    567.63x = 1,578,664.64
  5. Step 5: Solve for x
    x = 1,578,664.64/567.63
  6. Step 6: Final answer
    x = 2,781.14

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.