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Finding the Third Proportional to 557.94 and 858.28

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Solution

The third proportional to 557.94 and 858.28 is: 1,320.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.94 : 858.28 = 858.28 : x
  2. Step 2: Convert to fraction form
    557.94/858.28 = 858.28/x
  3. Step 3: Cross multiply
    557.94x = 858.28 × 858.28
  4. Step 4: Simplify right side
    557.94x = 736,646.70
  5. Step 5: Solve for x
    x = 736,646.70/557.94
  6. Step 6: Final answer
    x = 1,320.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.