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Finding the Third Proportional to 465,994,289.25 and 723,544,974

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Solution

The third proportional to 465,994,289.25 and 723,544,974 is: 1,123,441,513.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,994,289.25 : 723,544,974 = 723,544,974 : x
  2. Step 2: Convert to fraction form
    465,994,289.25/723,544,974 = 723,544,974/x
  3. Step 3: Cross multiply
    465,994,289.25x = 723,544,974 × 723,544,974
  4. Step 4: Simplify right side
    465,994,289.25x = 523,517,329,400,660,672
  5. Step 5: Solve for x
    x = 523,517,329,400,660,672/465,994,289.25
  6. Step 6: Final answer
    x = 1,123,441,513.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.