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Finding the Third Proportional to 289,101,372.75 and 440,427,678.75

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Solution

The third proportional to 289,101,372.75 and 440,427,678.75 is: 670,963,746.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,101,372.75 : 440,427,678.75 = 440,427,678.75 : x
  2. Step 2: Convert to fraction form
    289,101,372.75/440,427,678.75 = 440,427,678.75/x
  3. Step 3: Cross multiply
    289,101,372.75x = 440,427,678.75 × 440,427,678.75
  4. Step 4: Simplify right side
    289,101,372.75x = 193,976,540,209,113,216
  5. Step 5: Solve for x
    x = 193,976,540,209,113,216/289,101,372.75
  6. Step 6: Final answer
    x = 670,963,746.61

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