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Finding the Third Proportional to 283,258,220 and 609,563,224

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Solution

The third proportional to 283,258,220 and 609,563,224 is: 1,311,761,840.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,258,220 : 609,563,224 = 609,563,224 : x
  2. Step 2: Convert to fraction form
    283,258,220/609,563,224 = 609,563,224/x
  3. Step 3: Cross multiply
    283,258,220x = 609,563,224 × 609,563,224
  4. Step 4: Simplify right side
    283,258,220x = 371,567,324,053,274,176
  5. Step 5: Solve for x
    x = 371,567,324,053,274,176/283,258,220
  6. Step 6: Final answer
    x = 1,311,761,840.67

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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.