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Finding the Third Proportional to 322,056 and 473,236

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Solution

The third proportional to 322,056 and 473,236 is: 695,383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,056 : 473,236 = 473,236 : x
  2. Step 2: Convert to fraction form
    322,056/473,236 = 473,236/x
  3. Step 3: Cross multiply
    322,056x = 473,236 × 473,236
  4. Step 4: Simplify right side
    322,056x = 223,952,311,696
  5. Step 5: Solve for x
    x = 223,952,311,696/322,056
  6. Step 6: Final answer
    x = 695,383.14

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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.