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Finding the Third Proportional to 439,441,008 and 664,817,280

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Solution

The third proportional to 439,441,008 and 664,817,280 is: 1,005,782,363.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,441,008 : 664,817,280 = 664,817,280 : x
  2. Step 2: Convert to fraction form
    439,441,008/664,817,280 = 664,817,280/x
  3. Step 3: Cross multiply
    439,441,008x = 664,817,280 × 664,817,280
  4. Step 4: Simplify right side
    439,441,008x = 441,982,015,786,598,400
  5. Step 5: Solve for x
    x = 441,982,015,786,598,400/439,441,008
  6. Step 6: Final answer
    x = 1,005,782,363.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.