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Finding the Third Proportional to 510.66 and 556.78

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Solution

The third proportional to 510.66 and 556.78 is: 607.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.66 : 556.78 = 556.78 : x
  2. Step 2: Convert to fraction form
    510.66/556.78 = 556.78/x
  3. Step 3: Cross multiply
    510.66x = 556.78 × 556.78
  4. Step 4: Simplify right side
    510.66x = 310,005.36
  5. Step 5: Solve for x
    x = 310,005.36/510.66
  6. Step 6: Final answer
    x = 607.07

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.