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Finding the Third Proportional to 250,709 and 536,410

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Solution

The third proportional to 250,709 and 536,410 is: 1,147,687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,709 : 536,410 = 536,410 : x
  2. Step 2: Convert to fraction form
    250,709/536,410 = 536,410/x
  3. Step 3: Cross multiply
    250,709x = 536,410 × 536,410
  4. Step 4: Simplify right side
    250,709x = 287,735,688,100
  5. Step 5: Solve for x
    x = 287,735,688,100/250,709
  6. Step 6: Final answer
    x = 1,147,687.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.