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Finding the Third Proportional to 511.63 and 715.71

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Solution

The third proportional to 511.63 and 715.71 is: 1,001.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.63 : 715.71 = 715.71 : x
  2. Step 2: Convert to fraction form
    511.63/715.71 = 715.71/x
  3. Step 3: Cross multiply
    511.63x = 715.71 × 715.71
  4. Step 4: Simplify right side
    511.63x = 512,242.15
  5. Step 5: Solve for x
    x = 512,242.15/511.63
  6. Step 6: Final answer
    x = 1,001.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.