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Finding the Third Proportional to 296,294 and 451,731

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Solution

The third proportional to 296,294 and 451,731 is: 688,710.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,294 : 451,731 = 451,731 : x
  2. Step 2: Convert to fraction form
    296,294/451,731 = 451,731/x
  3. Step 3: Cross multiply
    296,294x = 451,731 × 451,731
  4. Step 4: Simplify right side
    296,294x = 204,060,896,361
  5. Step 5: Solve for x
    x = 204,060,896,361/296,294
  6. Step 6: Final answer
    x = 688,710.86

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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.