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Finding the Third Proportional to 296,028 and 459,212

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Solution

The third proportional to 296,028 and 459,212 is: 712,350.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,028 : 459,212 = 459,212 : x
  2. Step 2: Convert to fraction form
    296,028/459,212 = 459,212/x
  3. Step 3: Cross multiply
    296,028x = 459,212 × 459,212
  4. Step 4: Simplify right side
    296,028x = 210,875,660,944
  5. Step 5: Solve for x
    x = 210,875,660,944/296,028
  6. Step 6: Final answer
    x = 712,350.39

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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.