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Finding the Third Proportional to 360,899,232 and 541,459,440

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Solution

The third proportional to 360,899,232 and 541,459,440 is: 812,355,081.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,899,232 : 541,459,440 = 541,459,440 : x
  2. Step 2: Convert to fraction form
    360,899,232/541,459,440 = 541,459,440/x
  3. Step 3: Cross multiply
    360,899,232x = 541,459,440 × 541,459,440
  4. Step 4: Simplify right side
    360,899,232x = 293,178,325,165,113,600
  5. Step 5: Solve for x
    x = 293,178,325,165,113,600/360,899,232
  6. Step 6: Final answer
    x = 812,355,081.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.