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Finding the Third Proportional to 296,444 and 458,544

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Solution

The third proportional to 296,444 and 458,544 is: 709,282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,444 : 458,544 = 458,544 : x
  2. Step 2: Convert to fraction form
    296,444/458,544 = 458,544/x
  3. Step 3: Cross multiply
    296,444x = 458,544 × 458,544
  4. Step 4: Simplify right side
    296,444x = 210,262,599,936
  5. Step 5: Solve for x
    x = 210,262,599,936/296,444
  6. Step 6: Final answer
    x = 709,282.70

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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.