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Finding the Third Proportional to 289,128,944 and 440,469,290

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Solution

The third proportional to 289,128,944 and 440,469,290 is: 671,026,541.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,128,944 : 440,469,290 = 440,469,290 : x
  2. Step 2: Convert to fraction form
    289,128,944/440,469,290 = 440,469,290/x
  3. Step 3: Cross multiply
    289,128,944x = 440,469,290 × 440,469,290
  4. Step 4: Simplify right side
    289,128,944x = 194,013,195,433,104,096
  5. Step 5: Solve for x
    x = 194,013,195,433,104,096/289,128,944
  6. Step 6: Final answer
    x = 671,026,541.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.