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Finding the Third Proportional to 283,258,214 and 609,563,200

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Solution

The third proportional to 283,258,214 and 609,563,200 is: 1,311,761,765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,258,214 : 609,563,200 = 609,563,200 : x
  2. Step 2: Convert to fraction form
    283,258,214/609,563,200 = 609,563,200/x
  3. Step 3: Cross multiply
    283,258,214x = 609,563,200 × 609,563,200
  4. Step 4: Simplify right side
    283,258,214x = 371,567,294,794,240,000
  5. Step 5: Solve for x
    x = 371,567,294,794,240,000/283,258,214
  6. Step 6: Final answer
    x = 1,311,761,765.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.