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Finding the Third Proportional to 296,330 and 459,543

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Solution

The third proportional to 296,330 and 459,543 is: 712,650.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,330 : 459,543 = 459,543 : x
  2. Step 2: Convert to fraction form
    296,330/459,543 = 459,543/x
  3. Step 3: Cross multiply
    296,330x = 459,543 × 459,543
  4. Step 4: Simplify right side
    296,330x = 211,179,768,849
  5. Step 5: Solve for x
    x = 211,179,768,849/296,330
  6. Step 6: Final answer
    x = 712,650.66

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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.