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Finding the Third Proportional to 510.50 and 780

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Solution

The third proportional to 510.50 and 780 is: 1,191.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.50 : 780 = 780 : x
  2. Step 2: Convert to fraction form
    510.50/780 = 780/x
  3. Step 3: Cross multiply
    510.50x = 780 × 780
  4. Step 4: Simplify right side
    510.50x = 608,400
  5. Step 5: Solve for x
    x = 608,400/510.50
  6. Step 6: Final answer
    x = 1,191.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.