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Finding the Third Proportional to 586.31 and 935.06

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Solution

The third proportional to 586.31 and 935.06 is: 1,491.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.31 : 935.06 = 935.06 : x
  2. Step 2: Convert to fraction form
    586.31/935.06 = 935.06/x
  3. Step 3: Cross multiply
    586.31x = 935.06 × 935.06
  4. Step 4: Simplify right side
    586.31x = 874,341.88
  5. Step 5: Solve for x
    x = 874,341.88/586.31
  6. Step 6: Final answer
    x = 1,491.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.