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Finding the Third Proportional to 250,416 and 590,545

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Solution

The third proportional to 250,416 and 590,545 is: 1,392,656.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,416 : 590,545 = 590,545 : x
  2. Step 2: Convert to fraction form
    250,416/590,545 = 590,545/x
  3. Step 3: Cross multiply
    250,416x = 590,545 × 590,545
  4. Step 4: Simplify right side
    250,416x = 348,743,397,025
  5. Step 5: Solve for x
    x = 348,743,397,025/250,416
  6. Step 6: Final answer
    x = 1,392,656.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.