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Finding the Third Proportional to 305,964 and 472,581

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Solution

The third proportional to 305,964 and 472,581 is: 729,931.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,964 : 472,581 = 472,581 : x
  2. Step 2: Convert to fraction form
    305,964/472,581 = 472,581/x
  3. Step 3: Cross multiply
    305,964x = 472,581 × 472,581
  4. Step 4: Simplify right side
    305,964x = 223,332,801,561
  5. Step 5: Solve for x
    x = 223,332,801,561/305,964
  6. Step 6: Final answer
    x = 729,931.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.