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Finding the Third Proportional to 511.95 and 1,332.07

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Solution

The third proportional to 511.95 and 1,332.07 is: 3,466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.95 : 1,332.07 = 1,332.07 : x
  2. Step 2: Convert to fraction form
    511.95/1,332.07 = 1,332.07/x
  3. Step 3: Cross multiply
    511.95x = 1,332.07 × 1,332.07
  4. Step 4: Simplify right side
    511.95x = 1,774,411.32
  5. Step 5: Solve for x
    x = 1,774,411.32/511.95
  6. Step 6: Final answer
    x = 3,466.02

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.