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Finding the Third Proportional to 250,713 and 536,409

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Solution

The third proportional to 250,713 and 536,409 is: 1,147,665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,713 : 536,409 = 536,409 : x
  2. Step 2: Convert to fraction form
    250,713/536,409 = 536,409/x
  3. Step 3: Cross multiply
    250,713x = 536,409 × 536,409
  4. Step 4: Simplify right side
    250,713x = 287,734,615,281
  5. Step 5: Solve for x
    x = 287,734,615,281/250,713
  6. Step 6: Final answer
    x = 1,147,665.32

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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.