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Finding the Third Proportional to 464,493 and 654,114

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Solution

The third proportional to 464,493 and 654,114 is: 921,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,493 : 654,114 = 654,114 : x
  2. Step 2: Convert to fraction form
    464,493/654,114 = 654,114/x
  3. Step 3: Cross multiply
    464,493x = 654,114 × 654,114
  4. Step 4: Simplify right side
    464,493x = 427,865,124,996
  5. Step 5: Solve for x
    x = 427,865,124,996/464,493
  6. Step 6: Final answer
    x = 921,144.40

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Why These Related Problems?

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