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Finding the Third Proportional to 926.25 and 1,332

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Solution

The third proportional to 926.25 and 1,332 is: 1,915.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.25 : 1,332 = 1,332 : x
  2. Step 2: Convert to fraction form
    926.25/1,332 = 1,332/x
  3. Step 3: Cross multiply
    926.25x = 1,332 × 1,332
  4. Step 4: Simplify right side
    926.25x = 1,774,224
  5. Step 5: Solve for x
    x = 1,774,224/926.25
  6. Step 6: Final answer
    x = 1,915.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.