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Finding the Third Proportional to 317,656 and 492,056

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Solution

The third proportional to 317,656 and 492,056 is: 762,205.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,656 : 492,056 = 492,056 : x
  2. Step 2: Convert to fraction form
    317,656/492,056 = 492,056/x
  3. Step 3: Cross multiply
    317,656x = 492,056 × 492,056
  4. Step 4: Simplify right side
    317,656x = 242,119,107,136
  5. Step 5: Solve for x
    x = 242,119,107,136/317,656
  6. Step 6: Final answer
    x = 762,205.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.