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Finding the Third Proportional to 464,433 and 654,019.75

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Solution

The third proportional to 464,433 and 654,019.75 is: 920,997.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,433 : 654,019.75 = 654,019.75 : x
  2. Step 2: Convert to fraction form
    464,433/654,019.75 = 654,019.75/x
  3. Step 3: Cross multiply
    464,433x = 654,019.75 × 654,019.75
  4. Step 4: Simplify right side
    464,433x = 427,741,833,390.06
  5. Step 5: Solve for x
    x = 427,741,833,390.06/464,433
  6. Step 6: Final answer
    x = 920,997.93

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.