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Finding the Third Proportional to 322,728 and 473,724

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Solution

The third proportional to 322,728 and 473,724 is: 695,367.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,728 : 473,724 = 473,724 : x
  2. Step 2: Convert to fraction form
    322,728/473,724 = 473,724/x
  3. Step 3: Cross multiply
    322,728x = 473,724 × 473,724
  4. Step 4: Simplify right side
    322,728x = 224,414,428,176
  5. Step 5: Solve for x
    x = 224,414,428,176/322,728
  6. Step 6: Final answer
    x = 695,367.08

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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.