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Finding the Third Proportional to 417.56 and 597.94

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Solution

The third proportional to 417.56 and 597.94 is: 856.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.56 : 597.94 = 597.94 : x
  2. Step 2: Convert to fraction form
    417.56/597.94 = 597.94/x
  3. Step 3: Cross multiply
    417.56x = 597.94 × 597.94
  4. Step 4: Simplify right side
    417.56x = 357,529.25
  5. Step 5: Solve for x
    x = 357,529.25/417.56
  6. Step 6: Final answer
    x = 856.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.