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Finding the Third Proportional to 502 and 784

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Solution

The third proportional to 502 and 784 is: 1,224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    502 : 784 = 784 : x
  2. Step 2: Convert to fraction form
    502/784 = 784/x
  3. Step 3: Cross multiply
    502x = 784 × 784
  4. Step 4: Simplify right side
    502x = 614,656
  5. Step 5: Solve for x
    x = 614,656/502
  6. Step 6: Final answer
    x = 1,224.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.