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Finding the Third Proportional to 582 and 906.50

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Solution

The third proportional to 582 and 906.50 is: 1,411.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    582 : 906.50 = 906.50 : x
  2. Step 2: Convert to fraction form
    582/906.50 = 906.50/x
  3. Step 3: Cross multiply
    582x = 906.50 × 906.50
  4. Step 4: Simplify right side
    582x = 821,742.25
  5. Step 5: Solve for x
    x = 821,742.25/582
  6. Step 6: Final answer
    x = 1,411.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.