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Finding the Third Proportional to 296,072 and 451,472

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Solution

The third proportional to 296,072 and 451,472 is: 688,437.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,072 : 451,472 = 451,472 : x
  2. Step 2: Convert to fraction form
    296,072/451,472 = 451,472/x
  3. Step 3: Cross multiply
    296,072x = 451,472 × 451,472
  4. Step 4: Simplify right side
    296,072x = 203,826,966,784
  5. Step 5: Solve for x
    x = 203,826,966,784/296,072
  6. Step 6: Final answer
    x = 688,437.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.