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Finding the Third Proportional to 510.05 and 734.06

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Solution

The third proportional to 510.05 and 734.06 is: 1,056.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.05 : 734.06 = 734.06 : x
  2. Step 2: Convert to fraction form
    510.05/734.06 = 734.06/x
  3. Step 3: Cross multiply
    510.05x = 734.06 × 734.06
  4. Step 4: Simplify right side
    510.05x = 538,847.75
  5. Step 5: Solve for x
    x = 538,847.75/510.05
  6. Step 6: Final answer
    x = 1,056.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.