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Finding the Third Proportional to 417.09 and 592.59

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Solution

The third proportional to 417.09 and 592.59 is: 841.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.09 : 592.59 = 592.59 : x
  2. Step 2: Convert to fraction form
    417.09/592.59 = 592.59/x
  3. Step 3: Cross multiply
    417.09x = 592.59 × 592.59
  4. Step 4: Simplify right side
    417.09x = 351,167.35
  5. Step 5: Solve for x
    x = 351,167.35/417.09
  6. Step 6: Final answer
    x = 841.94

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.