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Finding the Third Proportional to 510.56 and 802.13

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Solution

The third proportional to 510.56 and 802.13 is: 1,260.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.56 : 802.13 = 802.13 : x
  2. Step 2: Convert to fraction form
    510.56/802.13 = 802.13/x
  3. Step 3: Cross multiply
    510.56x = 802.13 × 802.13
  4. Step 4: Simplify right side
    510.56x = 643,404.52
  5. Step 5: Solve for x
    x = 643,404.52/510.56
  6. Step 6: Final answer
    x = 1,260.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.