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Finding the Third Proportional to 265,380,435 and 415,396,462.50

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Solution

The third proportional to 265,380,435 and 415,396,462.50 is: 650,214,553.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,380,435 : 415,396,462.50 = 415,396,462.50 : x
  2. Step 2: Convert to fraction form
    265,380,435/415,396,462.50 = 415,396,462.50/x
  3. Step 3: Cross multiply
    265,380,435x = 415,396,462.50 × 415,396,462.50
  4. Step 4: Simplify right side
    265,380,435x = 172,554,221,057,513,920
  5. Step 5: Solve for x
    x = 172,554,221,057,513,920/265,380,435
  6. Step 6: Final answer
    x = 650,214,553.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.