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Finding the Third Proportional to 296,584 and 459,620

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Solution

The third proportional to 296,584 and 459,620 is: 712,278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,584 : 459,620 = 459,620 : x
  2. Step 2: Convert to fraction form
    296,584/459,620 = 459,620/x
  3. Step 3: Cross multiply
    296,584x = 459,620 × 459,620
  4. Step 4: Simplify right side
    296,584x = 211,250,544,400
  5. Step 5: Solve for x
    x = 211,250,544,400/296,584
  6. Step 6: Final answer
    x = 712,278.96

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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.