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Finding the Third Proportional to 272,488 and 659,350

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Solution

The third proportional to 272,488 and 659,350 is: 1,595,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,488 : 659,350 = 659,350 : x
  2. Step 2: Convert to fraction form
    272,488/659,350 = 659,350/x
  3. Step 3: Cross multiply
    272,488x = 659,350 × 659,350
  4. Step 4: Simplify right side
    272,488x = 434,742,422,500
  5. Step 5: Solve for x
    x = 434,742,422,500/272,488
  6. Step 6: Final answer
    x = 1,595,455.30

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.