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Finding the Third Proportional to 296,832 and 459,072

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Solution

The third proportional to 296,832 and 459,072 is: 709,987.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,832 : 459,072 = 459,072 : x
  2. Step 2: Convert to fraction form
    296,832/459,072 = 459,072/x
  3. Step 3: Cross multiply
    296,832x = 459,072 × 459,072
  4. Step 4: Simplify right side
    296,832x = 210,747,101,184
  5. Step 5: Solve for x
    x = 210,747,101,184/296,832
  6. Step 6: Final answer
    x = 709,987.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.