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Finding the Third Proportional to 322,082 and 473,651

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Solution

The third proportional to 322,082 and 473,651 is: 696,547.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,082 : 473,651 = 473,651 : x
  2. Step 2: Convert to fraction form
    322,082/473,651 = 473,651/x
  3. Step 3: Cross multiply
    322,082x = 473,651 × 473,651
  4. Step 4: Simplify right side
    322,082x = 224,345,269,801
  5. Step 5: Solve for x
    x = 224,345,269,801/322,082
  6. Step 6: Final answer
    x = 696,547.06

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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.