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Finding the Third Proportional to 317,216 and 467,056

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Solution

The third proportional to 317,216 and 467,056 is: 687,674.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,216 : 467,056 = 467,056 : x
  2. Step 2: Convert to fraction form
    317,216/467,056 = 467,056/x
  3. Step 3: Cross multiply
    317,216x = 467,056 × 467,056
  4. Step 4: Simplify right side
    317,216x = 218,141,307,136
  5. Step 5: Solve for x
    x = 218,141,307,136/317,216
  6. Step 6: Final answer
    x = 687,674.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.