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Finding the Third Proportional to 510.75 and 592.50

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Solution

The third proportional to 510.75 and 592.50 is: 687.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.75 : 592.50 = 592.50 : x
  2. Step 2: Convert to fraction form
    510.75/592.50 = 592.50/x
  3. Step 3: Cross multiply
    510.75x = 592.50 × 592.50
  4. Step 4: Simplify right side
    510.75x = 351,056.25
  5. Step 5: Solve for x
    x = 351,056.25/510.75
  6. Step 6: Final answer
    x = 687.33

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.