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Finding the Third Proportional to 464,553 and 654,165

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Solution

The third proportional to 464,553 and 654,165 is: 921,169.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,553 : 654,165 = 654,165 : x
  2. Step 2: Convert to fraction form
    464,553/654,165 = 654,165/x
  3. Step 3: Cross multiply
    464,553x = 654,165 × 654,165
  4. Step 4: Simplify right side
    464,553x = 427,931,847,225
  5. Step 5: Solve for x
    x = 427,931,847,225/464,553
  6. Step 6: Final answer
    x = 921,169.05

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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.