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Finding the Third Proportional to 532.94 and 1,158.06

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Solution

The third proportional to 532.94 and 1,158.06 is: 2,516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.94 : 1,158.06 = 1,158.06 : x
  2. Step 2: Convert to fraction form
    532.94/1,158.06 = 1,158.06/x
  3. Step 3: Cross multiply
    532.94x = 1,158.06 × 1,158.06
  4. Step 4: Simplify right side
    532.94x = 1,341,108.75
  5. Step 5: Solve for x
    x = 1,341,108.75/532.94
  6. Step 6: Final answer
    x = 2,516.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.