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Finding the Third Proportional to 296,584 and 459,622

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Solution

The third proportional to 296,584 and 459,622 is: 712,285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,584 : 459,622 = 459,622 : x
  2. Step 2: Convert to fraction form
    296,584/459,622 = 459,622/x
  3. Step 3: Cross multiply
    296,584x = 459,622 × 459,622
  4. Step 4: Simplify right side
    296,584x = 211,252,382,884
  5. Step 5: Solve for x
    x = 211,252,382,884/296,584
  6. Step 6: Final answer
    x = 712,285.16

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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.