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Finding the Third Proportional to 305,072 and 466,688

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Solution

The third proportional to 305,072 and 466,688 is: 713,922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,072 : 466,688 = 466,688 : x
  2. Step 2: Convert to fraction form
    305,072/466,688 = 466,688/x
  3. Step 3: Cross multiply
    305,072x = 466,688 × 466,688
  4. Step 4: Simplify right side
    305,072x = 217,797,689,344
  5. Step 5: Solve for x
    x = 217,797,689,344/305,072
  6. Step 6: Final answer
    x = 713,922.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.