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Finding the Third Proportional to 250,506 and 441,500

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Solution

The third proportional to 250,506 and 441,500 is: 778,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,506 : 441,500 = 441,500 : x
  2. Step 2: Convert to fraction form
    250,506/441,500 = 441,500/x
  3. Step 3: Cross multiply
    250,506x = 441,500 × 441,500
  4. Step 4: Simplify right side
    250,506x = 194,922,250,000
  5. Step 5: Solve for x
    x = 194,922,250,000/250,506
  6. Step 6: Final answer
    x = 778,114.10

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.