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Finding the Third Proportional to 434,155.50 and 670,923

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Solution

The third proportional to 434,155.50 and 670,923 is: 1,036,812.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,155.50 : 670,923 = 670,923 : x
  2. Step 2: Convert to fraction form
    434,155.50/670,923 = 670,923/x
  3. Step 3: Cross multiply
    434,155.50x = 670,923 × 670,923
  4. Step 4: Simplify right side
    434,155.50x = 450,137,671,929
  5. Step 5: Solve for x
    x = 450,137,671,929/434,155.50
  6. Step 6: Final answer
    x = 1,036,812.09

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