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Finding the Third Proportional to 441,885,414 and 662,828,040

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Solution

The third proportional to 441,885,414 and 662,828,040 is: 994,241,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,885,414 : 662,828,040 = 662,828,040 : x
  2. Step 2: Convert to fraction form
    441,885,414/662,828,040 = 662,828,040/x
  3. Step 3: Cross multiply
    441,885,414x = 662,828,040 × 662,828,040
  4. Step 4: Simplify right side
    441,885,414x = 439,341,010,610,241,600
  5. Step 5: Solve for x
    x = 439,341,010,610,241,600/441,885,414
  6. Step 6: Final answer
    x = 994,241,938.50

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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.