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Finding the Third Proportional to 250,709.50 and 536,411

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Solution

The third proportional to 250,709.50 and 536,411 is: 1,147,689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,709.50 : 536,411 = 536,411 : x
  2. Step 2: Convert to fraction form
    250,709.50/536,411 = 536,411/x
  3. Step 3: Cross multiply
    250,709.50x = 536,411 × 536,411
  4. Step 4: Simplify right side
    250,709.50x = 287,736,760,921
  5. Step 5: Solve for x
    x = 287,736,760,921/250,709.50
  6. Step 6: Final answer
    x = 1,147,689.90

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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.