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Finding the Third Proportional to 296,584 and 459,621

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Solution

The third proportional to 296,584 and 459,621 is: 712,282.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,584 : 459,621 = 459,621 : x
  2. Step 2: Convert to fraction form
    296,584/459,621 = 459,621/x
  3. Step 3: Cross multiply
    296,584x = 459,621 × 459,621
  4. Step 4: Simplify right side
    296,584x = 211,251,463,641
  5. Step 5: Solve for x
    x = 211,251,463,641/296,584
  6. Step 6: Final answer
    x = 712,282.06

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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.